16 citations · 22 across the 6 of their papers we have counts for
8 papers
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 …
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…
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…
Manifolds admitting a continuous cancellative binary operation are orientable
Taras Banakh, Igor Guran, Alex Ravsky
We prove that a topological manifold (possibly with boundary) admitting a continuous cancellative binary operation is orientable. This implies that the Möbius band admits no cancel…
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,…
Algebraically determined topologies on permutation groups
Taras Banakh, Igor Guran, Igor Protasov
In this paper we answer several questions of Dikran Dikranjan about algebraically determined topologies on the group of (finitely supported) permutations of a set X.
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…