33 citations · 687 across the 231 of their papers we have counts for
16 papers · 1 filter
On topological groups containing a Fréchet-Urysohn fan
Taras Banakh
Suppose G is a topological group containing a (closed) topological copy of the Frechet-Urysohn fan. If G is a perfectly normal sequential space (a normal k-space) then every closed…
The topological structure of (homogeneous) spaces and groups with countable cs*-character
Taras Banakh, Lyubomyr Zdomskyy
In this paper we introduce and study three new cardinal topological invariants called the cs*, cs-, and sb-characters. The class of topological spaces with countable cs*-character…
Direct limit topologies in the categories of topological groups and of uniform spaces
Taras Banakh, Dusan Repovs
We study the topological structure of the direct limit $\glim G_n$ of a tower of topological groups in the category of topological groups and show that under some condition…
Completeness of translation-invariant ideals in groups
Taras Banakh, Nadya Lyaskovska
We introduce and study varions notions of completeness of translation-invariant ideals in groups.
A topological characterization of LF-spaces
Taras Banakh, Dusan Repovs
We present a topological characterization of LF-spaces and detect small box-products that are (locally) homeomorphic to LF-spaces.
Detecting Hilbert manifolds among isometrically homogeneous metric spaces
Taras Banakh, Dusan Repovs
We detect Hilbert manifolds among isometrically homogeneous metric spaces and apply the obtained results to recognizing Hilbert manifolds among homogeneous spaces of the form G/H w…