I. Guran

most citedEach topological group embeds into a duoseparable topological group

1 citations · 2 across the 2 of their papers we have counts for

collaborators

4 papers

math.GN2020★ 1 cited

Each topological group embeds into a duoseparable topological group

Taras Banakh, Igor Guran, Alex Ravsky

A topological group $X$ is called $d u ose p a r ab l e$ if there exists a countable set $S \subseteq X$ such that $S U S = X$ for any neighborhood $U \subseteq X$ of the unit. We construct a fu…

math.GN2020★ 1 cited

Generalizing separability, precompactness and narrowness in topological groups

Taras Banakh, Igor Guran, Alex Ravsky

We discuss various modifications of separability, precompactnmess and narrowness in topological groups and test those modifications in the permutation groups $S (X)$ and $S_{< ω} (X)$ …

math.GR2019

Positive answers to Koch's problem in special cases

Taras Banakh, Serhii Bardyla, Igor Guran +2

A topological semigroup is monothetic provided it contains a dense cyclic subsemigroup. The Koch problem asks whether every locally compact monothetic monoid is compact. This probl…

math.GN2019

On the spread of topological groups containing subsets of the Sorgenfrey line

Taras Banakh, Igor Guran, Alex Ravsky

We prove that any topological group $G$ containing a subspace $X$ of the Sorgenfrey line has spread $s (G) \geq s (X \times X)$ . Under OCA, each topological group containing an uncounta…