
Date:

Speaker:

Title (click on the title to see the Abstract):



18.12.17

T.Banakh

The Bing connected countable Hausdorff space is topologically homogeneous
We prove that the Bing connected countable Hausdorff space is topologically homogeneous.
This one problem from Mathoverflow.







11.12.17

T.Banakh

A short inductive proof of LevySteinitz Theorem
We present a short inductive proof of Steinitz Theorem, which answers a problem posed by V.Tarieladze in Lviv Scottish Book.







20.11.17
27.11.17
04.12.17

M.Zarichnyi

Triangular norms and monads of functionals
Every triangular norm determines a monad structure for the cone construction. In turn, this monad generates, via the distributivity law construction, a monad structure on a hyperspace of saturated sets of the cone and the latter can be interpreted as a monad of functionals on the spaces of continuous functions.
The obtained monads obtain a natural interpretation in the general equilibrium theory.







13.11.17

L.Wang

Metrizability of function spaces endowed with the Fell topology
We characterize Tychonoff spaces who function spaces endowed with the hypograph Fell topoloy are metrizable.







06.11.17

S.Bardyla

On 0bisimple inverse semigroups
We characterize 0bisimple inverse semigroups which semilattice of idempotents is isomorphic to the λary tree whith adjoint zero.







23.10.17
31.10.17

L.Wang

Characterizing topological spaces X with metrizable function space C_{F}(X)
We characterize topological spaces with metrizable function space C_{F}(X) endowed with the hypograph Fell topology.







09.10.17

S.Bardyla

On 0bisimple inverse semigroups
We characterize 0bisimple inverse semigroups which semilattice of idempotents is isomorphic to the λary tree whith adjoint zero.







2.10.17

I.Kuz

On asymptotic sublogarithmic dimension
The asymptotic dimension of a (proper) metric space is defined by M.Gromov and is one of the most important invariants in
large scale geometry.
Some other asymptotic dimension functions were also considered: the asymptotic AssouadNagata dimension,
asymptotic dimension with linear control, and asymptotic power dimension.
The aim of the talk is to introduce a new asymptotic dimension function, namely, the asymptotic sublogarithmic dimension.
We establish some basic properties of this dimension and compare it to another dimension functions.
We also introduce the sublogarithmic coarse structure and the sublogarithmic corona of a proper metric space.





