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 Scientific Seminar: Topological Algebra Founded by Igor Guran & Oleg Gutik in 2007 Advisor: Oleg Gutik

 Speaker: Oleksandra Lysetska (Sobol) Talk: On feebly compact topologies on the semigroup $\mathbf{B}_{\omega}^{\mathcal{F}_1}$ When & where: June 7, 2021, at 1800 at ZOOM Abstract: We study the Gutik-Mykhalenych semigroup $\mathbf{B}_{\omega}^{\mathcal{F}_1}$ in the case when the family $\mathcal{F}_1$ consists of the empty set and all singleton subsets of $\omega$. We show that $\mathbf{B}_{\omega}^{\mathcal{F}_1}$is isomorphic to the subsemigroup of the Brandt $\omega$-extension of the semilattice $(\omega,\min)$ and describe all shift-continuous feebly compact $T_1$-topologies on the semigroup $\mathbf{B}_{\omega}^{\mathcal{F}_1}$.

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