33 citations · 687 across the 231 of their papers we have counts for
7 papers · 2 filters
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 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…
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…
Topologies on groups determined by sequences: Answers to several questions of I.Protasov and E.Zelenyuk
Taras Banakh
We answer several questions of I.Protasov and E.Zelenyuk concerning topologies on groups determined by T-sequences. A special attention is paid to studying the operation of supremu…
Pontryagin duality between compact and discrete abelian inverse monoids
Taras Banakh, Olena Hryniv
For a topological monoid S the dual inverse monoid is the topological monoid of all identity preserving homomorphisms from S to the circle with attached zero. A topological monoid…
Characterizing chainable, tree-like, and circle-like continua
Taras Banakh, Zdzislaw Kosztolowicz, Slawomir Turek
We prove that a continuum is tree-like (resp. circle-like, chainable) if and only if for each open cover $\U_4=\{U_1,U_2,U_3,U_4\}$ of there is a $\U_4$-map onto…