16 citations · 22 across the 6 of their papers we have counts for
5 papers · 1 filter
Each topological group embeds into a duoseparable topological group
Taras Banakh, Igor Guran, Alex Ravsky
A topological group is called if there exists a countable set such that for any neighborhood of the unit. We construct a fu…
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 and …
On the spread of topological groups containing subsets of the Sorgenfrey line
Taras Banakh, Igor Guran, Alex Ravsky
We prove that any topological group containing a subspace of the Sorgenfrey line has spread . Under OCA, each topological group containing an uncounta…
Some Open Problems in Topological Algebra
Taras Banakh, Mitrofan Choban, Igor Guran +1
This is the list of open problems in topological algebra posed on the conference dedicated to the 20th anniversary of the Chair of Algebra and Topology of Lviv National University,…
Perfectly supportable semigroups are σ-discrete in each Hausdorff shift-invariant topology
Taras Banakh, Igor Guran
In this paper we introduce perfectly supportable semigroups and prove that they are σ-discrete in each Hausdorff shift-invariant topology. The class of perfectly supportable semigr…