192 citations · 3.7k across the 290 of their papers we have counts for
5 papers · 2 filters
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.
Uniform convexity and the splitting problem for selections
Maxim V. Balashov, Dušan Repovš
We continue to investigate cases when the Repovš-Semenov splitting problem for selections has an affirmative solution for continuous set-valued mappings. We consider the situation…
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…