Archive: | 2008/09 | 2009/10 | 2010/11 | 2011/12 | 2012/13 | 2013/14 | 2014/15 | 2015/16 | 2016/17 | 2017/18 | 2018/19 | 2019/20 | 2018/19 | 2020/21 |



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 $\mathbf{B}_{\omega}^{\mathcal{F}_1}$.



| Archive | Home |