33 citations · 687 across the 231 of their papers we have counts for
8 papers · 2 filters
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…
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.
The topological structure of direct limits in the category of uniform spaces
Taras Banakh, Dusan Repovs
Let be a sequence of uniform spaces such that each space is a closed subspace in . We give an explicit description of the topology and uniformity of the…
o-Boundedness of free topological groups
Taras Banakh, Dušan Repovš, Lyubomyr Zdomskyy
Assuming the absence of Q-points (which is consistent with ZFC) we prove that the free topological group over a Tychonov space is -bounded if and only if every contin…