Publications of T.Banakh
1987 1988 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 (Online) (Accepted) (Submitted) (Preprints) (Noprints)

    (Preprints):

  1. T.Banakh, L.Zdomskyy, Coherence of Semifilters, 246p.
  2. T.Banakh, I. Protasov, Set-Theoretical Problems in Asymptology, 01.04.2020.
  3. T.Banakh, V.Brydun, L.Karchevska, M.Zarichnyi, The lp-metrization of functors with finite supports.
  4. T.Banakh, R.Bonnet, W.Kubis, Skula spaces and scattered compact semilattices,
  5. Submitted for Publication:

  6. I.Banakh, T.Banakh, J.Garbulinska-Wegrzyn, The completion of the hyperspace of finite subsets, endowed with the l1-metric, (submitted 7.04.2020 to Colloq. Math. by GW)
  7. T.Banakh, S.Bardyla, A.Ravsky, Embeddings into countably compact Hausdorff spaces, Ukr. Math. J. (submitted by SB in Feb. 2020).
  8. T.Banakh, S.Gabriyelyan, Jossefson-Nissenzweig Property for locally convex spaces, JFA (submitted 18.04.2020 by SG).
  9. T.Banakh, S.Bardyla, A.Ravsky, A metrizable Lawson semitopological semilattice with non-closed partial order, Order (submitted 08.03.2020).
  10. T.Banakh, I.Protasov, Constructing a coarse space with a given Higson or binary corona, Topology Appl. (submitted 05.03.2020).
  11. T.Banakh, I.Guran, A.Ravsky, Generalizing separability, precompactness and narrowness in topological groups, RACSAM (submitted 04.03.2020 by AR).
  12. T.Banakh, I.Guran, A.Ravsky, Each topological group embeds into a duoseparable topological group, Topology Appl. (submitted 04.03.2020 by AR).
  13. I.Banakh, T.Banakh, The asymptotic dimension of some coarse spaces, (submitted 29.01.2020 to Proc. Mazatlan Conf. in Topology Appl.).
  14. T.Banakh, A.Ravsky, Zero-sum subsets of decomposable sets in Abelian groups, Algebra Disc. Math.
  15. T.Banakh, D.Spirito, S.Turek, The Golomb space is topologically rigid, CMUC (submitted 13.01.2020).
  16. T.Banakh, A.Ravsky, On feebly compact paratopological groups, Topology Appl. (submitted 8.12.2019).
  17. T.Banakh, S.Bardyla, O.Gutik, The Lawson number of a semitopological semilattice, Semigroup Forum (submitted 20.11.2019).
  18. T.Banakh, S.Bardyla, Complete topologized posets and semilattices, Topology Proc. (submitted 17.11.2019).
  19. I.Banakh, T.Banakh, O.Hryniv, Ya. Prytula, M.Zarichnyi, The Scottish Book: continuing traditions EMS Newsletter (submitted 15.05.2019).
  20. T.Banakh, L.Wang, On Baire category properties of function spaces Ck'(X,Y), Topology Proc. (submitted 26.03.2019).
  21. I.Banakh, T.Banakh, O.Hryniv, Ya.Stelmakh, The connected countable spaces of Bing and Ritter are topologically homogeneous, Topology Proc. (submitted 15.02.2019).
  22. T.Banakh, I.Protasov, The normality and bounded growth of balleans, GGD (submitted 06.11.2018).
  23. T.Banakh, S.Glab, E.Jablonska, J.Swaczyna, Haar-I sets: looking at small sets in Polish groups through compact glasses, Dissert.Math. (submitted 26.08.2019; DM 812).

    Accepted for Publication:

  24. T.Banakh, S.Gabriyelyan, Locally convex properties of Baire type function spaces, J. Convex Analysis (accepted 31.05.20; submitted by SG on 21.05.2019).
  25. T.Banakh, Selection properties of the split interval and the Continuum Hypothesis, Archive for Mathematical Logic. (submitted 17.11.2019; revised 18.04.2020; accepted 12.05.2020).
  26. T.Banakh, L.Wang, Lusin and Suslin properties of function spaces, RACSAM (submitted 19.11.2019; accepted 9.04.2020).
  27. T.Banakh, σ-Continuous functions and related cardinal characteristics of the continuum, Tatra Mountains Math. Publ. (submitted 15.09.2019; accepted 01.02.2020).
  28. T. Banakh, M. Nowak, F. Strobin, Embedding fractals in Banach, Hilbert or Euclidean spaces, J.Fractal Geom. (submitted 20.06.2018).

    Published Online:

  29. T.Banakh, S.Bardyla, A.Ravsky, A metrizable semitopological semilattice with non-closed partial order, Top. Algebra Appl. (published online 09.04.2020).
  30. T.Banakh, S.Bardyla, I.Guran, O.Gutik, A.Ravsky, Positive answers to Koch's problem in special cases, Top. Algebra Appl. (published online 09.04.2020).
  31. T.Banakh, B.Bokalo, V.Tkachuk, Scattered compact sets in continuous images of Cech-complete spaces, Topology Appl. (published online 08.04.2020)
  32. T.Banakh, A.Ravsky, Banalytic spaces and characterization of Polish groups, Letters in Math. Sci. (published online 05.05.2019).

    2020:

  33. T. Banakh, J. Garbulinska-Wegrzyn, Universal decomposed Banach spaces, Banach Journal of Mathematical Analysis 14 (2020) 470–486.
  34. T. Banakh, J. Garbulinska-Wegrzyn, Corrigendum to the paper``The universal Banach space with a K-suppression unconditional basis'', Comment. Math. Univ. Carolin. 61:1 (2020) 127-128.
  35. T.Banakh, A.Idzik, O.Pikhurko, I.Protasov, K.Pszczola, Isometric copies of directed trees in orientations of graphs, J. Graph Theory. 94:2 (2020) 175--191.
  36. T.Banakh, O.Maslyuchenko, Linearly continuous functions and Fσ-measurability, Europ. J. Math. 6 (2020) 37-–52.
  37. T. Banakh, O. Hryniv, A parallel metrization theorem, Europ. J. Math., 6 (2020) 110-–113.
  38. T.Banakh, I.Chyzhykov, A.Plichko, V.Samoilenko, Editors’ foreword for the special issue “Mathematics in the Banach Space”, European J. Math. 6 (2020) 1-–3.
  39. T.Banakh, M.Filipczak, J.Wodka, Returning functions with closed graph are continuous, Math. Slovaca. 70:2 (2020), 297-304.
  40. T.Banakh, J.Brazas, Realizing spaces as path-component spaces, Fund. Math. 248 (2020), 79-89.

    2019:

  41. T.Banakh, Detecting σZn-sets in topological groups and linear metric spaces, Visnyk Lviv. Univ. 88 (2019) 41-52.
  42. T.Banakh, I.Protasov, Minmax bornologies, Ukr. Mat. Bull. 16:4 (2019), 496-502; transl.: J. Math. Sci. (2020).
  43. T.Banakh, J.Kakol, W.Sliwa, Josefson-Nissenzweig property for Cp-spaces, RACSAM 113:4 (2019), 3015–3030
  44. T.Banakh, Z.Kosztolowicz, S.Turek, Supercompact minus compact is super, Topology Appl. 267 (2019) 106868.
  45. T.Banakh, D. van der Zypen, Minimal covers of hypergraphs, Discrete Math. 342:11 (2019), 3043–3046.
  46. T. Banakh, J. Garbulinska-Wegrzyn, The universal Banach space with a K-unconditional basis, Advances in Operator Theory 4:3 (2019), 574–586.
  47. T.Banakh, V.Gavrylkiv, Difference bases in cyclic groups, J. Algebra and its Appl. 18:05 (2019) 1950081.
  48. T.Banakh, V.Gavrylkiv, The difference weight of finite Abelian groups, Acta Sci. Math. (Szeged) 85 (2019), 119–137.
  49. T.Banakh, Topological spaces with an ωω-base, Dissert. Math. 538 (2019), 1–141.
  50. T. Banakh, E. Jablonska, Null-finite sets in metric groups and their applications, Israel J. Math. 230:1 (2019), 361–386.
  51. T.Banakh, V.Gavrylkiv, Difference bases in dihedral groups, Intern. J. of Group Theory, 8:1 (2019) 43--50.
  52. T.Banakh, A.K. Prykarpatsky, Ergodic Deformations of Nonlinear Hamilton Systems and Local Homeomorphism of Metric Spaces, Journal of Math. Sci. 241:1 (2019) 27–35.

    2018:

  53. T.Banakh, I.Protasov, Constructing balleans, Ukr. Math. Bull. 15:3 (2018), 332–344; transl. in: J. Math. Sci. 241:1 (2019) 19--26.
  54. T.Banakh, O.Ravsky, The regularity of quotient paratopological groups, Mat. Stud. 49:2 (2018) 144–149.
  55. T.Banakh, A.Bartos, Lower separation axioms via Borel and Baire algebras, Serdica Math. J. 44 (2018), 155\–176.
  56. T. Banakh, J. Mioduszewski, S.Turek, On continuous self-maps and homeomorphisms of the Golomb space, Comment. Math. Univ. Carolin. 59:4 (2018) 423–442.
  57. T.Banakh, J.Kakol, W.Sliwa, Metrizable quotients of Cp-spaces, Topology Appl. 249:1 (2018) 95–102.
  58. T.Banakh, Quasicontinuous functions with values in Piotrowski spaces, Real Anal. Exchange 43:1 (2018), 77-104.
  59. T. Banakh, J. Garbulinska-Wegrzyn, The universal Banach space with a K-suppression unconditional basis, CMUC. 59:2 (2018) 195--206.
  60. T.Banakh, I.Belegradek, Spaces of nonnegative curved surfaces, J. Math. Soc. of Japan. 70:2 (2018) 733–756.
  61. T.Banakh, O.Chervak, T.Martynyuk, M.Pylypovych, A.Ravsky, M.Simkiv, Kuratowski monoids of n-topological spaces, Top. Algebra Appl. 6:1 (2018) 1-25.
  62. T.Banakh, I.V.Protasov, K.D.Protasova, Descriptive Complexity of the Sizes of Subsets of Groups, Ukrainian Mathematical Journal, 69:9 (2018) 1485--1489.

    2017:

  63. T.Banakh, I.Protasov, K. Protasova, Ramsey product-subsets of a group, Mat. Stud. 47 (2017) 145-149.
  64. T.Banakh, I.Stasyuk, Ed.Tymchatyn, M.Zarichnyi, Extension of functions and metrics with variable domains, Topology Appl. 231 (2017) 353-372.
  65. T.Banakh, V.Gavrylkiv, Automorphism groups of superextensions of groups, Mat. Stud. 48:2 (2017) 134-142.
  66. T.Banakh, V. Gavrylkiv, On structure of the semigroups of k-linked upfamilies on groups, Asian Eur. J. Math. 10:4 (2017), 15 pp.
  67. T.Banakh, A.Leiderman, The strong Pytkeev property in topological spaces, Topology Appl. 227 (2017)10–29.
  68. T.Banakh, I.Protasov, D.Repovs, S.Slobodianiuk, Classifying homogeneous cellular ordinal balleans up to coarse equivalence, Colloq. Math. 149:2 (2017) 211--224.
  69. T.Banakh, S.Gabriyelyan, On the Cp-stable closure of the class of separable metrizable spaces, Colloquium Math. 146:2 (2017) 283–294.
  70. I.Banakh, T.Banakh, M.Vovk, An example of a non-Borel locally-connected finite-dimensional topological group, Carpathian Math. Publ. 9:1 (2017) 3–5.
  71. T.O.Банах, І.В.Протасов, К.Д.Протасова, Дескриптивна складність розмірів підмножин груп, Укр. мат. журн. 68:9 (2017) 1280–1283.
  72. А.М. Самойленко, Т.О. Банах, Я.Г. Притула, Стефан Банах і математика у Львові у першій половині XX століття, Вісник АН України. #11 (2017), 92-102.
  73. Т.Банах, В.К.Маслюченко, О.В.Равський, Напівтопологічні векторні простори, Мат. Вісник НТШ. 13 (2016).
  74. T.Banakh, I.Guran, A.Ravsky, Manifolds admitting a continuous cancellative binary operation are orientable , Journal of Lie Theory 16 (2016) 1177-1185.
  75. T.Banakh, H.Mildenberger, Cardinal invariants distinguishing permutation groups, EJMA 2:2 (2016) 493-507.
  76. T.Banakh, D.Repovs, Classifying homogeneous ultrametric spaces up to coarse equivalence, Coll. Math. 144:2 (2016) 189–202.
  77. T.Banakh, O.Ravsky, S.Slobodianiuk, On partitions of G-spaces and G-lattices, IJAC 26:2 (2016) 283-308.
  78. T.Banakh, A.Ravsky, Verbal covering properties of topological spaces, Topology Appl. 201 (2016) 181–205.
  79. T.Banakh, S.Gabriyelyan, On uniformly discrete subsets in uniform spaces and topological groups, Mat. Stud. 45:1 (2016) 78–97.

    2015:

  80. T.Banakh, W.Kubis, N.Novosad, M.Nowak, F.Strobin, Contractive function systems, their attractors and metrization, Topol. Methods. Nonlinear Analysis. 46:2 (2015) 1029-1066.
  81. T.Banakh, A.Bartoszewicz, M.Filipczak, E.Szymonik, Topological and measure properties of some self-similar sets, Topol. Methods Nonlinear Anal. 46:2 (2015) 1013-1028.
  82. T.Banakh, P0-spaces, Topology Appl. 195 (2015) 151-173.
  83. T.Banakh, M.Fraczyk, The covering number of the difference sets in partitions of G-spaces and groups, Europ. J. Math. 1:4 (2015) 762-772.
  84. T.Banakh, F.Strobin, Embeddings topological fractals in universal spaces, J. Fractal Geom. 2:4 (2015), 377–388.
  85. T.Banakh, M.Morayne, R.Rałowski, Sz.Żeberski, Topologically invariant σ-ideals on the Hilbert cube, Israel J. Math. 209 (2015) 715–743.
  86. T.Banakh, M.Morayne, R.Rałowski, Sz.Żeberski, Topologically invariant σ-ideals on Euclidean spaces, Fund. Math. 231 (2015), 101–112.
  87. T.Banakh, I.Protasov, S.Slobodianiuk, Scattered Subsets of Groups, Ukr. Mat. Zh. 67:3 (2015), 304–312.
  88. T.Banakh, I.Pastukhova, Automatic continuity of homomorphisms between topological semigroups, Semigroup Forum, 90 (2015), 280--295.
  89. I.Banakh, T.Banakh, P.Trisch, M.Vovk, Toehold Purchase Problem: a comparative analysis of two strategies, Econtechmod. 4:1 (2015) 3–10.
  90. Т.Банах, Я.Притула, Математичні публікації НТШ до 1939 року, Мат. Вісник НТШ. 12 (2015) 130–146.

    2014:

  91. T.Banakh, M.Cencelj, D.Repovs, I.Zarichnyi, Coarse classification of abelian groups and amenable shift-homogeneous metric spaces, Quaterly Jour. Math. 65:4 (2014), 1127–1144.
  92. T.Banakh, R.Bonnet, W.Kubis, Means on scattered compacta, Topology Algebra and its Application, 2 (2014), 5–10.
  93. T.Banakh, A.Bartoszewicz, Sz.Glab, E.Szymonik, Erratum to "Algebraic and topological properties of some sets in l1", Colloq. Math. 135:2 (2014) 295–298.
  94. T.Banakh, Ya.Kholyavka, K.Kuhlmann, M.Machura, O.Potyatynyk, The dimension of the space of  R-places of certain rational function fields, Central Europ. J. Math. 12:8 (2014) 1239–1248.
  95. T.Banakh, I.Protasov, O.Sipacheva, Topologization of sets endowed with an action of a monoid, Topology Appl. 169 (2014) 161–174.
  96. T.Banakh, B.Bokalo, N.Kolos, On ∞-convex sets in spaces of scatteredly continuous functions, Topology Appl. 169 (2014) 33–44.
  97. T.Banakh, A.Bartoszewicz, S.Gląb, Large free sets in powers of universal algebras, Algebra Universalis, 71 (2014) 23–29.
  98. T.Banakh, O.Chervak, N.Lyaskovska, Asymptotic dimension and small subsets in locally compact topological groups, Geometriae Dedicata, 169:1 (2014) 383–396.
  99. T.Banakh, K.Mine, K.Sakai, T.Yagasaki, On homeomorphism groups of non-compact surfaces, endowed with the Whitney topology, Topology Appl. 164 (2014) 170–181.
  100. T.Banakh, Z.Kosztolowicz, S.Turek, Hereditarily supercompact spaces, Topology Appl. 161 (2014) 263–278.
  101. T.Banakh, V.Gavrylkiv, Characterizing semigroups with commutative superextensions, Algebra Discr. Math. 17:2, (2014) 161–192.
  102. T.Banakh, I.Protasov, S.Slobodianiuk, Densities, submeasures and partitions of groups, Algebra Discr. Math. 17:2, (2014) 193–221.
  103. T.Banakh, M.Machura, L.Zdomskyy, On critical cardinalities related to Q-sets, Math. Bull. Shevchenko Sci. Soc. 11 (2014), 21–32.

    2013:

  104. T.Banakh, I.V.Protasov, S.Slobodianiuk, Syndetic submeasures and partitions of G-spaces and groups, IJAC 23:7 (2013), 1611–1623.
  105. T.Banakh, K.Mine, D.Repovs, K.Sakai, T.Yagasaki, Detecting topological groups which are (locally) homeomorphic to LF-spaces, Topology Appl. 160:18 (2013), 2272–2284.
  106. T.Banakh, V.Valov, General Position Properties in Fiberwise Geometric Topology, Dissert. Math. 491 (2013) 1– 120.
  107. T.Banakh, I.Hetman, K.Sakai, Recognizing the topology of the space of closed convex subsets of a Banach space, Studia Math. 216 (2013) 17–33.
  108. T.Banakh, A.Bartoszewicz, M.Bienias, S.Gląb, The continuity properties of compact-preserving functions, Topology Appl. 160:7 (2013) 937–942.
  109. T.Banakh, O.Potyatynyk, Dimension of graphoids of rational vector-functions, Topology Appl. 160:1 (2013) 24–44.
  110. T.Banakh, A.Kucharski, M.Martynenko, A spectral characterization of skeletal maps, Central Europ. J. Math. 11:1 (2013) 161–169.
  111. T.Banakh, I.Protasov, Topologization of G-spaces, Journal of Math. Sci. 188:2 (2013) 77--84.
  112. T.Banakh, D.Repovs, Universal meager Fσ-sets in locally compact manifolds, Comment. Math. Univ. Carolin. 54:2 (2013), 179–188.
  113. T.Banakh, O.Chervak, L.Zdomskyy, On character of points in the Higson corona of a metric space, Comment. Math. Univ. Carolin. 54:2 (2013) 159–178.
  114. T.Banakh, S.Turek, The groups S3 and SO(3) have no invariant binary k-network, Topology Proc. 41 (2013) 261–266.
  115. T.Banakh, I.Pastukhova, Topological and ditopological unosemigroups, Mat. Stud. 39:2 (2013) 119–133.
  116. T.Banakh, F.Bogomolov, A.Gatalevych, I.Guran, Yu.Ishchuk, M.Komarnytskyi, I.Kuz, I.Melnyk, V.Petrychkovych, Ya.Prytula, O.Romaniv, O.Skaskiv, L.Stakhiv, G.Sulym, B.Zabavskyi, V.Zelisko, M.Zarichnyi, Obituary: Vasyl Ivanovych Andriychuk (18.09.1948–7.07.2012). Cent. Eur. J. Math. 11:9 (2013), 1547–1551.
  117. Л.Є.Базилевич, Т.О.Банах, Б.М.Бокало, I.Й.Гуран, О.В.Гутiк, А.В.Загороднюк, М.М.Зарiчний, Л.С.Здомський, В.К.Маслюченко, Л.П.Плахта, А.М.Плiчко, М.М.Попов, I.В.Протасов, Т.М.Радул, О.Б.Скаскiв, М.М.Шеремета, Robert Cauty (13.11.1946–8.07.2013). Мат. Студії. 40:2 (2013), 216–221.

    2012:

  118. T.Banakh, A.Bartoszewicz, Sz.Glab, E.Szymonik, Algebraic and topological properties of some sets in l1, Colloq. Math. 129:1 (2012) 75– 85.
  119. I.Banakh, T.Banakh, A.Plichko, A.Prykarpatskyi, On local convexity of nonlinear mappings between Banach spaces, Central Europ. J. Math. 10:6 (2012) 2264–2271.
  120. T.Banakh, A.Kucharski, M.Martynenko, On functors preserving skeletal maps and skeletally generated compacta, Topology Appl. 159:10–11 (2012) 2679–2693.
  121. T.Banakh, I.Guran, I.Protasov, Algebraically determined topologies on permutation groups, Topology Appl. 159:9 (2012) 2258–2268.
  122. T.Banakh, O.Gutik, O.Potiatynyk, A.Ravsky, Metrizability of Clifford topological semigroups, Semigroup Forum. 84 (2012) 301–307.
  123. T.Banakh, A.Leiderman, Uniform Eberlein compactifications of metrizable spaces, Topology Appl. 159:7 (2012) 1691–1694.
  124. T.Banakh, O.Petrenko, I.Protasov, S.Slobodianiuk, Kaleidoscopical configurations in G-spaces, Electronic Journal of Combinatorics. 19 (2012), #P12.
  125. T.Banakh, D.Repovs, A topological characterization of LF-spaces, Topology Appl. 159:5 (2012), 1475–1488.
  126. T.Banakh, D.Repovs, Direct limit topologies in the categories of topological groups and of uniform spaces, Tohoku Math. J. 64:1 (2012), 1–24.
  127. T.Banakh, V.Gavrylkiv, Algebra in superextensions of inverse semigroups, Algebra Discr. Math. 13:2 (2012) 147–168.
  128. T.Banakh, V.Gavrylkiv, Algebra in superextensions of semilattices, Algebra Discr. Math. 13:1 (2012) 26–42.
  129. T.Banakh, A.Mitrofanov, O.Ravsky, Compactly convex sets in linear topological spaces, Mat. Stud. 37:2 (2012) 161–173.
  130. T.Banakh, M.Martynenko, M.Zarichnyi, On monomorphic topological functors with finite supports, Carpathian Math. Publ. 4:1 (2012) 4–12.
  131. T.O.Banakh, O.V.Maslyuchenko, The fractal dimension and linearly continuous functions, Доповіді НАН України. No.6 (2012) 7–12.
  132. T.Banakh, I.Protasov, Topologization of G-spaces, Український Математичний Вісник. 9:3 (2012) 308–317.
  133. 2011:

  134. T.Banakh, I.Hetman, A ``hidden'' characterization of polyhedral convex sets, Studia Math. 206 (2011), 63–74.
  135. T.Banakh, Z.Kosztolowicz, S.Turek, Characterizing chainable, tree-like, and circle-like continua, Colloq. Math. 124 (2011), 1–13.
  136. T.Banakh, M.Vovk, M.R.Wójcik, Connected economically metrizable spaces, Fund. Math. 212 (2011), 145–173.
  137. T.Banakh, N.Lyaskovska, On thin-complete ideals of subsets of groups, Ukr. Math. J. 63:6 (2011) 741–754.
  138. T.Banakh, I.Guran, O.Ravsky, Characterizing meager paratopological groups, Applied Gen. Top. 12:1 (2011) 27–33.
  139. T.Banakh, R.Cauty, A.Karassev, On homotopical and homological Zn-sets, Topology Proc. 38 (2011) 29–82.
  140. T.Banakh, I.V.Protasov, Problem 11588, Amer. Math. Monthly. 118:7 (2011), p.653.

    2010:

  141. T.Banakh, V.Gavrylkiv, Algebra in the superextensions of twinic groups, Dissert. Math. 473 (2010), 74pp.
  142. I.Banakh, T.Banakh, Constructing non-compact operators into c0, Studia Math. 201 (2010), 65-67.
  143. T.Banakh, V.V.Fedorchuk, J.Nikiel, M.Tuncali, The Suslinian number and other cardinal invariants of continua, Fund. Math. 209 (2010) 43–57.
  144. T.Banakh, J.Higes, I.Zarichnyi, The coarse classification of countable abelian groups, Trans. Amer. Math. Soc. 362 (2010) 4755–4780.
  145. T.Banakh, V.Valov, Approximation by light maps and parametric Lelek maps, Topology Appl. 157:15 (2010) 2325-2341.
  146. T.Banakh, K.Mine, K.Sakai, T.Yagasaki, Spaces of maps into topological group with the Whitney topology, Topology Appl. 157:6 (2010) 1110–1117.
  147. T.Banakh, D.Repovs, L.Zdomskyy, o-Boundedness of free topological groups, Topology Appl. 157:2 (2010), 466–481.
  148. T.Banakh, N.Lyaskovska, Completeness of translation-invariant ideals in groups, Ukr. Mat. Zh. 62:8 (2010), 1022-1031.
  149. T.Banakh, O.Verbitsky, Ya.Vorobets, Fermat's spiral and the line between Yin and Yang, Amer. Math. Monthly. 117:9 (2010), 786–800.
  150. T.Banakh, I.Zarichnyi, A coarse characterization of the Baire macro-space, Proc. of Intern. Geometry Center. 3:4 (2010) 6–14.

    2009:

  151. T.Banakh, O.Shabat, M.Zarichnyi, A universal model infinite-dimensional space, Topology, 48 (2009) 186–196.
  152. T.Banakh, N.Lyaskovska, D.Repovs, Packing index of subsets in Polish groups, Notre Dame J. Formal Logic., 50:4 (2009) 453–468.
  153. T.Banakh, K.Mine, K.Sakai, Classifying homeomorphism groups of infinite graphs, Topology Appl. 156:17 (2009) 2845–2869.
  154. I.Banakh, T.Banakh, K.Yamazaki, Extenders for vector-valued functions, Studia Math. 191 (2009) 123–150.
  155. T.Banakh, N.Brodskiy, I.Stasyuk, E.D.Tymchatyn, On continuous extensions of uniformly continuous functions and metrics, Colloq. Math. 116 (2009) 191–202.
  156. I.Banakh, T.Banakh, E.Riss, On r-reflexive Banach spaces, CMUC. 50:1 (2009) 61–74.
  157. T.Banakh, V.Gavrylkiv, Extending binary operations to funtor-spaces, Carpathian Math. Publ. 1:2 (2009) 114–127.
  158. T.Banakh, S.Dimitrova, O.Gutik, The Rees-Suschkewitsch Theorem for simple topological semigroups, Mat. Stud., 31:2 (2009) 211–218.
  159. T.Banakh, V.Gavrylkiv, Algebra in the superextensions of groups: minimal left ideals, Mat. Stud. 31:2 (2009) 142–148.

    2008:

  160. T.Banakh, M.Dzamonja, L.Halbeisen, Non-separable Banach spaces with non-meager Hamel basis, Studia Math.189:1 (2008), 27–34.
  161. T.Banakh, D.Repovs, L.Zdomskyy, Frechet-Urysohn fans in free topological groups, Jour. Pure and Appl. Algebra., 212:9 (2008), 2105–2114.
  162. T.Banakh, V.Bogachev, A.Kolesnikov, k*-Metrizable spaces and their applications, J. Math. Sci.155:4 (2008) 475–522; translated from: Современная математика и ее приложения: Общая топология T.48 (2007).
  163. T.Banakh, V.Gavrylkiv, O.Nykyforchyn, Algebra in superextensions of groups, I: zeros and commutativity, Algebra Discrete Math. (2008), no.3, 1–29.
  164. 2007:

  165. T.Banakh, R.Voytsitskyy, Characterizing metric spaces whose hyperspaces are absolute neighborhood retracts // Topology Appl. 154:10, (2007), 2009–2025.
  166. T.Banakh, D.Repovs, Division and k-th Root Theorems for Q-manifolds // Science in China Ser. A: Math. 50:3 (2007), 313–324.
  167. T.Banakh, O.Hryniv, Embedding topological semigroups into the hyperspaces over topological groups, Acta Universitatis Carolinae. Math. et Phys. 48:2 (2007), 3–18.
  168. T.Banakh, O.V.Maslyuchenko, V.V.Mykhaylyuk, Discontinuous separately continuous functions and near coherence of P-filters // Real Analysis Exchange 32:2 (2007), 335–347
  169. T.Banakh, R.Cauty, M.Zarichnyi, Open problems in infinite-dimensional topology // in: Open Problems in Topology, II (E.Pearl ed.), Elsevier, 2007, p.601–624.
  170. T.Banakh, B.Bokalo, I.Guran, T.Radul, M.Zarichnyi, Problems from the Lviv topological seminar // in: Open Problems in Topology, II (E.Pearl ed.), Elsevier, 2007, p.655–667.
  171. T.Banakh, R.Cauty, A homological selection theorem implying a division theorem for Q-manifolds // Banach Center Publ. 77 (2007), 11–22
  172. T.Banakh, O.Shabat, M.Zarichnyi, A uniform approach to producing model spaces of infinite-dimensional topology // in: General Topology, Geometric Topology and their applications, Research Institute for Mathematical Sciences, Kyoto University, 1531 (2007), 68–74.
  173. T.Banakh, R.Voytsitskyy, Fell topology on hyperspaces of locally compact spaces // Mat. Stud. 27:2 (2007), 196 – 207.
  174. T.Banakh, M.Zarichnyi, Robert Cauty: короткий біографічний нарис // Mat. Stud. 27:1 (2007), 105–112.

    2006:

  175. T.Banakh, P.Nickolas, M.Sanchis, Filter games and pathologic subgroups of a countable product of lines // J. Austral Math. Soc. 81:3 (2006), 321 - 350.
  176. T.Banakh, P.Bankston, B.Raines, W.Ruitenburg, Chainability and Hemmingsen's theorem // Topology Appl. 153:14 (2006), 2462–2468.
  177. T.Banakh, A.Plichko, The algebraic dimension of linear metric spaces and Baire properties of their hyperspaces // Rev. R. Acad. Cien. Serie A. Math. 100:1-2 (2006), 31–37.
  178. T.Banakh, A.Blass, The number of near-coherence classes of ultrafilters is either finite or 2c // Set Theory. Trends in Mathematics. Birkhauser Verlag Basel/Switzerland, (2006), 257 - 273.
  179. T.Banakh, V.V.Fedorchuk, On hereditary subnormality of certain spaces // Vestnik MGU. Ser.1. Mekh.Mat. N2 (2006), 8–13.
  180. T.Banakh, L.Zdomskyy, Coherence of Semifilters: a survey, in: Selection Principles and Covering Properties in Topology (L.Kocinac ed.), Quaderni di Matematica. 18 (2006), 53–99.
  181. T.Banakh, L.Zdomskyy, Selection Principles and infinite games on multicovered spaces, in: Selection Principles and Covering Properties in Topology (L.Kocinac ed.), Quaderni di Matematica. 18 (2006), 1–51.
  182. T.Banakh, N.Lyaskovska, Weakly P-small not P-small subsets in Abelian groups // Algebra and Discr. Math. N.3 (2006), 29–34.

    2005:

  183. T.Banakh, O.Gutik, M.Rajagopalan. On algebraic structures on scattered compacta // Topology Appl. 153:5-6 (2005), 710–723.
  184. T.Banakh, D.Repovs On linear realizations and local self-similarity of the universal Zarichnyi map // Houston J. Math. 31:4 (2005), 1103–1114.
  185. T.Banakh, R.Cauty. On universality of finite powers of locally path connected meager spaces // Colloquium Math. 102:1 (2005), 87–95.
  186. T.Banakh, V.Bogachev, A.Kolesnikov, Topological spaces with Skorokhod representation property // Ukr. Mat. Zh. 57:9 (2005) 1171–1186.
  187. 2004:

  188. T. Banakh. Interplay between the algebraic structure of a group and arithmetic properties of its spectrum // Intern. J. of Algebra and Computation. 14:1 (2004), 1–34.
  189. T.Banakh, R.Cauty, Kh.Trushchak, L.Zdomsky. On universality of finite products of Polish spaces. // Tsukuba J. Math. 28:2 (2004) 455–471.
  190. T.Banakh, A.Plichko, A.Zagoronyuk. Zeros of continuous quadratic functionals on non-separable Banach spaces // Colloq. Math. 100 (2004), 141–147.
  191. T.Banakh, S.Kutsak, V.K.Maslyuchenko, O.V.Maslyuchenko. Direct and inverse problems of the Baire classifications of integrals dependent on a parameter. // Ukr. Mat. Zhurn. 56:11 (2004),1443–1457.
  192. T.Banakh, M.I.Vovk. Separately Fσ-measurable functions are close to being functions of the first Baire class // Ukr. Mat. Zhurn.56:4 (2004), 573–576.
  193. T.Banakh, V.Bogachev, A.Kolesnikov. Topological spaces with the strong Skorokhod property, II. // in: Funct. Analysis and its Appl. (V.Kadets, W.Zelazko eds.) Elsevier, 2004. 23–47.
  194. T.Banakh. Cardinal characteristics of the ideal of Haar null sets // CMUC. 45:1 (2004) 119–137.
  195. T.Banakh, L.Zdomsky. The topological structure of (homogeneous) spaces and groups with countable cs*-network. // Appl. Gen. Top. 5:1 (2004), 25–48.
  196. T.Banakh, S.Pidkuyko. A game characterization of limit-detecting sequences in locally compact G-spaces // Mat. Stud. 21:2 (2004), 115–132.
  197. T.Banakh, L.Zdomsky, S.Pidkuyko. How many convergent sequences is necessary to detect a discontinuity of a function in a point? // Visnyk Naukovoho Tovarystva im. T.Shevchenka, 1 (2004) 13–24.

    2003:

  198. T.Banakh, A.Chigogidze, V.V.Fedorchuk. On spaces of σ-additive probability measures. // Topology Appl. 133:2 (2003), 139–155
  199. T.Banakh. On cardinal invariants and metrizability of topological inverse Clifford semigroups // Topology Appl. 128:1 (2003) 13–48.
  200. T.Banakh, M.Kurihara, K.Sakai. Hyperspaces of normed linear spaces with the Attouch-Wets topology // Set-Valued Anal. 11:1 (2003) 21–26
  201. T.Banakh, S.Ravsky. On subgroups of saturated or totally bounded paratopological groups// Algebra and Discrete Mathematics. 4 (2003) 1–20.
  202. T.Banakh, O.Hryniv. On closed embeddings of free topological algebras // Visnyk Lviv Univ. 61 (2003), 21–25.
  203. T.Banakh, M.Choban, I.Guran, I.Protasov. Some Problems in Topological Algebra // Visnyk Lviv Univ. 61 (2003), 13–20.

    2002:

  204. T.Banakh. On index of total boundedness of (strictly) o-bounded groups // Top. Appl. 120 (2002) 427–439.
  205. T.Banakh, I.Kmit, O.Verbitsky. On asymmetric colorings of integer grids // Ars Combinatoria. 62 (2002) 257–271.
  206. T.Banakh, O.Hryniv. Free topological inverse semigroups as infinite-dimensional manifolds // Algebraical Structures and their Applications, Kyiv: Inst. Mat. NANU, (2002) 132–139.
  207. T.Banakh, O.Ravsky. Oscillator topologies on paratopological groups and related number invariants // Algebraical Structures and their Applications, Kyiv: Inst. Mat. NANU, (2002) 140–153.
  208. T.Banakh, L.Zdomsky. Each second countable abelian group is a subgroup of a second countable divisible group // Algebraical Structures and their Applications, Kyiv: Inst. Mat. NANU, (2002) 154–159.

    2001:

  209. T.Banakh. Toward a topological classification of convex sets in infinite-dimensional Frechet spaces // Topology Appl. 111 (2001) 241–263.
  210. T.Banakh, R.Cauty. On universality of countable and weak products of sigma hereditarily disconnected spaces // Fund. Math. 167 (2001) 97–109.
  211. T.O.Banakh, V.I.Bogachev, A.V.Kolesnikov. Topological spaces with the strong Skorokhod property // Georgian Math. J. 8:2 (2001) 201–220.
  212. T.Banakh. On topological classification of normed spaces endowed with the weak topology or the topology of compact convergence // in: General Topology in Banach Spaces (T.Banakh ed.), Nova Sci. Publ., NY, 2001, P.171–178.
  213. T.O.Banakh, V.I.Bogachev, A.V.Kolesnikov. On topological spaces with the Prokhorov and Skorokhod properties (in Russian) // Doklady AN 380:6 (2001) 727–730; Engl. transl.: Doklady Math. 64:2 (2001) 244–247.
  214. T.O.Banakh. Symmmetric subsets and colorings of connected compact groups (in Ukrainian) // Ukr. Mat. Zhurn. (2001), No.5, 694–697.
  215. T.Banakh, I.Protasov. Symmetry and colorings: some results and open problems // Izv. Gomel Univ. Voprosy Algebry. 2001. Issue 4(17). P.5–16.
  216. T.Banakh, I.Guran, O.Gutik. Free topological inverse semigroups // Mat. Stud. 15:1 (2001) 23–43.
  217. T.Banakh. Topological classification of zero-dimensional Mω-groups // Mat. Stud. 15:1 (2001) 109–112.
  218. T.Banakh. On topological structure of topological semilattices with open principal ideals // Mat. Stud. 16:1 (2001) 49–56.

    2000:

  219. T.Banakh, K.Sakai. Characterizations of (R,σ)- or (Q,Σ)-manifolds and their applications // Topology Appl. 106 (2000) 115–134.
  220. T.Banakh, K.Sakai. Free topological semilattices homeomorphic to R or Q // Topology Appl. 106 (2000) 135–147.
  221. T.Banakh, K.Kawamura, K.Sakai. The direct limits of the Banach-Mazur compacta // Bull. London Math. Soc. 32:6 (2000) 709–717.
  222. T.Banakh. Topological classification of strong duals to nuclear (LF)-spaces // Studia Math. 138:3 (2000) 201–208.
  223. T.O.Banakh, Ya.B.Vorobets, O.V.Verbitsky. Ramsey problems for spaces with symmetries (in Russian) // Izvestia RAN. 64:6 (2000) 3–40; English transl.: Izvestiya: Mathematics 64:6 (2000) 1091–1127.
  224. T.Banakh, O.Verbitski, Ya.Vorobets. Ramsey treatment of symmetry // Electronic J. of Combinatorics. 7:1 (2000) R52. – 25p. (www.combinatorics.org)
  225. T.Banakh, R.Cauty. Interplay between strongly universal spaces and pairs // Dissert. Math. 286 (2000) 1–38.
  226. T.Banakh, T.Dobrowolski, A.Plichko. Applications of some results of infinite-dimensional topology to the topological classification of operator images and weak unit balls of Banach spaces // Dissert. Math. 387 (2000) 1–81pp.
  227. T.Banakh. Topological classification of weak unit balls of Banach spaces with separable duals // Dissert. Math. 387 (2000) 7–35.
  228. T.Banakh, T.Dobrowolski, A.Plichko. The topological and Borel classification of operator images // Dissert. Math. 387 (2000) 37–52.
  229. T.Banakh, C.Bessaga, On linear operators extending (pseudo)metrics, Bull. Polish Acad. Sci. Math. 48:1 (2000) 201–208.
  230. T.Banakh. Operator images homeomorphic to Σω // Dissert. Math. 387 (2000) 53–81.
  231. T.Banakh, M.Zarichnyi. The interval [0,1] admits no functorial embedding into a finite-dimensional or metrizable topological group // Serdica J. Math. 26 (2000) 1–4.
  232. T.Banakh. Locally minimal groups and their embedding into products of o-bounded groups // CMUC. 41:4 (2000) 811–815.
  233. T.Banakh, Kh.Trushchak. Zn-sets and the disjoint n-cells property in products of ANR's // Mat. Stud. 13:1 (2000) 74–78.
  234. T.Banakh, V.O.Kushnir. On growth and distribution of zeros of analytic functions of bounded l-index in arbitrary domains // Mat. Stud.14:2 (2000) 165–170.
  235. T.Banakh, V.K.Maslyuchenko, V.V.Mykhailyuk, M.I.Pshenychko. Discontinuity points of almost continuous functions (in Ukrainian) // Mat. Stud. 14:1 (2000) 89–96.

    1999:

  236. T.Banakh. On hyperspaces and homeomorphism groups homeomorphic to products of absorbing sets and R // Tsukuba J. Math. 23:3 (1999), 1–10.
  237. T.Banakh, I.V.Protasov. Asymmetric partitions of Abelian groups (in Russian). Mat. Zametki // 66:1 (1999), 17–30.
  238. T.Banakh. Some properties of the linear hull of the Erdos set in l2 // Bulletin PAN. 47:4 (1999), 385–392.
  239. T.Banakh, T.Radul. Geometry of maps of spaces of probability measures (in Russian) // Mat. Stud. 11:1 (1999), 17–30.
  240. T.Banakh, W.E.Lyantse, Ya.V.Mykytyuk. ∞-Convex sets and their applications to the proof of certain classical theorems of functional analysis // Mat. Stud. 11:1 (1999), 83–84.
  241. T.Banakh. Symmetric subsets and colorings of finite groups (in Ukrainian) // Visnyk of Kiev Univ. {\bf 4} (1999) 12–17.
  242. T.Banakh. A solution of a problem on coloring of the discrete plane (in Ukrainian) // U sviti matematyky. 5:2 (1999), 20–22.

    1998:

  243. T.Banakh. Characterization of spaces admitting a homotopy dense embedding into a Hilbert manifold // Top.Appl. 86 (1998), 123–131.
  244. T.Banakh. On a cardinal group invariant related to partition of abelian groups (in Russian) // Mat. Zametki. 64:3 (1998), 341–350.
  245. T.Banakh. On linear topological spaces (linearly) homeomorphic to R // Mat. Stud. 9:1 (1998), 99–101.
  246. T.Banakh. On topological groups containing a Frechet-Urysohn fan // Mat. Stud. 9:2 (1998), 149–154.
  247. T.Banakh. The strongly universal property in closed convex sets. // Mat. Stud. 10:2 (1998), 203–218.

    1997:

  248. T.Banakh, R.Cauty. Universalite forte pour les sous-ensembles totalement bornees. Application aux espaces Cp(X) // Colloquium Math. 73 (1997), 25–33.
  249. T.Banakh, T.Radul. Topology of spaces of probability measures (in Russian) // Matem. Sbornik. 188 (1997), 23–46.
  250. T.Banakh. Topological classification of spaces of probability measures on projective spaces (in Russian) // Mat. Zametki. 61 (1997), 441–444.
  251. T.Banakh, R.Cauty. On hyperspaces of nowhere topologically complete spaces (in Russian) // Mat. Zametki. 62:1 (1997), 35–51.
  252. T.Banakh, O.Pikhurko. On linear functorial operators extending pseudometrics // CMUC. 38 (1997) 343–348.
  253. T.Banakh, A.Plichko. On a problem of ``Scottish book'' concerning contractions of metric spaces onto compacta // Mat. Stud. 8:1 (1997), 119-122.
  254. T.Banakh. Some problems in infinite-dimensional topology // Mat. Stud. 8:1 (1997), 123–125.
  255. T.Banakh. Solutions of certain problems of I.Protasov on combinatirics of colorings (in Ukrainian) // U sviti matematyky. 3:1 (1997), 8–11.
  256. T.Banakh, I.V.Protasov. On symmetric colorings of regular polygons (in Ukrainian) // U sviti matematyky. 3:3 (1997), 9–15.

    1996:

  257. T.Banakh, T.Radul, M.Zarichnyi. Absorbing sets in infinite-dimensional manifolds (Matem. Studii. Monograph Series. 1), VNTL Publishers, Lviv, 1996. 240p.
  258. T.Banakh. On isomorphism properties of the Banach space generated by the cone of pseudometrics // Bull. PAN. 44:4 (1996), 431–436.
  259. T.Banakh, T.Radul. On universality of countable powers of absolute retracts // Ukr. Mat. Zhurn. 48{:4} (1996), 540–542.
  260. T.Banakh, T.Radul. On barycentrically soft compacta and affine retracts of products of metrizable convex compacta // Mat. Stud. 6 (1996), 99–104.

    1995:

  261. T.Banakh. Sur la caracterisation topologique des compacts a l'aide des demi-treillis des pseudometriques continues // Studia Math. 116 (1995), 303–310.
  262. T.Banakh. On linear regular operators extending pseudometrics // Seminaire Initiation a l'Analyse (G.Choquet, G.Godefroy, M.Rogalski, J.Saint Raymond) 34-eme Annee. 1994/1995, N.16, 2p.
  263. T.Banakh. Descriptive classes of sets and topological functors // Ukr. Mat. Zhurn. 47 (1995), 408–411.
  264. T.Banakh. Preservation of metrizable absolute retracts and soft maps by covariant topological functors // Mat. Stud. 4 (1995), 95–104.
  265. 1994:

  266. T.Banakh. AE(0)-spaces and regular operators extending (averaging) pseudometrics. // Bull. PAN. 42 (1994), 107–206.
  267. T.Banakh, R.Cauty. Topological classification of spaces of probability measures on coanalytic sets (in Russian) // Mat. Zametki. 55 (1994), 10–19.
  268. T.Banakh. Characterization of fiber absorbing sets in infinite- dimensional bundles (in Russian) // Izvestia vuzov. Math. N.11 (1994), 1–4.
  269. T.Banakh. Characterization of convex Z-sets in linear metric spaces (in Russian) // Funct. Anal. i Prilozh. 28 (1994), 77–79.
  270. T.Banakh. On the weak topology of the closed unit ball of a Banach space (in Ukrainian) // Visnyk Lviv Univ. 40 (1994), 43–47.
  271. T.Banakh, T.Radul. On the functor of probability Radon measures (in Ukrainian) // Dopovidi AN Ukrainy. N.8 (1994), 16–20.

    1993:

  272. T.Banakh. The space of locally Holder maps from a locally compact metric space to a Banach space // Mat. Stud. 2 (1993), 87–90.

    1992:

  273. T.Banakh. Fiber Z-sets and fiber deleting homeomorphisms (in Russian) // Mat. Zametki. 51 (1992), 10-14.
  274. T.Banakh. On topology of the Milnor construction of a universal G-bundle (in Russian) // Sibirsk. Mat. Zhurn. 33 (1992), C.16–25.
  275. T.Banakh. Soft maps, trivial bundles and functors in categories of sigma-compact spaces (in Russian) // General Topology. Spaces, Maps and Functors. Moskov Univ. Press. (1992), 11–22.

    1991:

  276. T.Banakh. Parametric results for certain classes of infinite-dimensional manifolds (in Russian) // Ukr. Math. Zhurn. 43 (1991), 853–859.
  277. T.Banakh. On infinite-dimensional manifolds generated by ANR-operads (in Russian) // Izvestia vuzov. Math. N.12 (1991), 3–5.
  278. T.Banakh. On a class of infinite-dimensional manifolds (in Ukrainian) // Visnyk Lviv Univ. 36 (1991), 50–53.

    1990:

  279. T.Banakh. On direct limits of iterated functors (in Ukrainian) // Visnyk Lviv Univ. 34 (1990), 63–65.

    1988:

  280. T.Banakh. On extension of pseudometrics on the space of probability measures (in Ukrainian) // Visnyk Lviv Univ. 30 (1988), 46–48.

    1987:

  281. T.Banakh, M.Zarichnyi. On a compactification of the functor of iterated hyperspace (in Russian) // Izvestia vuzov. Math. N.10 (1987), 3–6.

    (Unpublished manuscripts):

  282. T.Banakh, A.Leiderman, G-bases in free (locally convex) topological vector spaces, preprint, 2016.
  283. T.Banakh, A.Bartoszewicz, S.Gląb, Independent and free sets in universal algebras. preprint, 2012.
  284. T.Banakh, I.Protasov, Zariski topologies on groups, January 2010.
  285. T.Banakh, M.Vovk, M.R.Wójcik, Nonseparably connected complete metric spaces, 2009.
  286. T.Banakh, M.Vovk, M.R.Wójcik, On locally extremal functions on connected spaces, 2008.

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