33 citations · 687 across the 231 of their papers we have counts for
11 papers · 2 filters
Openly factorizable spaces and compact extensions of topological semigroups
Taras Banakh, Svetlana Dimitrova
We prove that the semigroup operation of a topological semigroup extends to a continuous semigroup operation on its the Stone-Čech compactification provided is a pseud…
Embedding the bicyclic semigroup into countably compact topological semigroups
Taras Banakh, Svetlana Dimitrova, Oleg Gutik
We study algebraic and topological properties of topological semigroups containing a copy of the bicyclic semigroup C(p,q). We prove that each topological semigroup S with pseudoco…
The Rees-Suschkewitsch Theorem for simple topological semigroups
Taras Banakh, Svetlana Dimitrova, Oleg Gutik
We detect topological semigroups that are topological paragroups, i.e., are isomorphic to a Rees product of a topological group over topological spaces with a continuous sandwich f…
Free topological inverse semigroups as infinite-dimensional manifolds
T. Banakh, O. Hryniv
Let be a complete quasivariety of topological inverse Clifford semigroups, containing all topological semilattices. It is shown that the free topological inverse semigroup $F(X…
(Metrically) quarter-stratifiable spaces and their applications in the theory of separately continuous functions
Taras Banakh
We introduce and study (metrically) quarter-stratifiable spaces and then apply them to generalize Rudin and Kuratowski-Montgomery theorems about the Baire and Borel complexity of s…
Oscillator topologies on a paratopological group and related number invariants
Taras Banakh, Olexandr Ravsky
We introduce and study oscillator topologies on paratopological groups and define certain related number invariants. As an application we prove that a Hausdorff paratopological gro…
Algebra in the superextensions of groups: minimal left ideals
Taras Banakh, Volodymyr Gavrylkiv
We prove that the minimal left ideals of the superextension of the discrete group of integers are metrizable topological semigroups, topologically isomorphic to minimal…
Packing index of subsets in Polish groups
Taras Banakh, Nadya Lyaskovska, Dušan Repovš
For a subset of a Polish group , we study the (almost) packing index $\ind_P(A)$ (resp. $\Ind_P(A)$) of , equal to the supremum of cardinalities of subsets $S\subse…
Fréchet-Urysohn fans in free topological groups
Taras Banakh, Dušan Repovš, Lyubomyr Zdomskyy
In this paper we answer the question of T. Banakh and M. Zarichnyi constructing a copy of the Fréchet-Urysohn fan $S_\w$ in a topological group admitting a functorial embedding…
Algebra in superextension of groups, II: cancelativity and centers
Taras Banakh, Volodymyr Gavrylkiv
Given a countable group we study the algebraic structure of its superextension . This is a right-topological semigroup consisting of all maximal linked systems on end…
Algebra in superextensions of groups, I: zeros and commutativity
T. Banakh, V. Gavrylkiv, O. Nykyforchyn
Given a group we study the algebraic structure of its superextension . This is a right-topological semigroup consisting of all maximal linked systems on endowed with…