18 citations · 31 across the 20 of their papers we have counts for
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Injectively and absolutely -closed semigroups
Taras Banakh
A semigroup is (resp. ) - if for any (injective) homomorphism to a topological semigroup , the image $h…
Categorically closed unipotent semigroups
Taras Banakh, Myroslava Vovk
Let be a class of topological semigroups, containing all Hausdorff zero-dimensional topological semigroups. A semigroup is - if is cl…
Automatic continuity of measurable homomorphisms on Cech-complete topological groups
Taras Banakh
We prove that a homomorphism from a (locally compact) Cech-complete topological group to a topological group is continuous if and only if is Borel-measurable…
First-countable Lindelöf scattered spaces
Taras Banakh, Will Brian, Alejandro Ríos-Herrejón
We study the class of first-countable Lindelöf scattered spaces, or "FLS" spaces. While every FLS space is homeomorphic to a scattered subspace of , the class of $…
Strongly -metrizable spaces are super -metrizable
Taras Banakh
A topological space is called strongly -metrizable if for an increasing sequence of closed metrizable subspaces such that every conver…
Topology of probability measure spaces, II
Taras Banakh
This paper is a follow-up to the author's work "Topology of probability measure space, I" devoted to investigation of the functors and of spaces of probability -s…