33 citations · 687 across the 231 of their papers we have counts for
28 papers · 1 filter
Embedding topological semigroups into the hyperspaces over topological groups
Taras Banakh, Olena Hryniv
We study algebraic and topological properties of subsemigroups of the hyperspace exp(G) of non-empty compact subsets of a topological group G endowed with the Vietoris topology and…
Uniform Eberlein compactifications of metrizable spaces
Taras Banakh, Arkady Leiderman
We prove that each metrizable space (of cardinality less or equal to continuum) has a (first countable) uniform Eberlein compactification and each scattered metrizable space has a…
On thin-complete ideals of subsets of groups
Taras Banakh, Nadya Lyaskovska
Given a family of subsets of a group we describe the structure of its thin-completion , which is the smallest thin-complete family that contains . A family o…
On meager function spaces, network character and meager convergence in topological spaces
Taras Banakh, Volodymyr Mykhaylyuk, Lyubomyr Zdomskyy
For a non-isolated point of a topological space the network character is the smallest cardinality of a family of infinite subsets of such that each neighborho…
Algebra in the superextensions of semilattices
Taras Banakh, Volodymyr Gavrylkiv
Given a semilattice we study the algebraic properties of the semigroup of upfamilies on . The semigroup contains the Stone-Cech extension ,…
Topological classification of zero-dimensional -groups
Taras Banakh
A topological group is called an -group if it admits a countable cover $\K$ by closed metrizable subspaces of such that a subset of is open in if and only…