33 citations · 687 across the 231 of their papers we have counts for
10 papers · 2 filters
Closed locally path-connected subspaces of finite-dimensional groups are locally compact
Taras Banakh, Lyubomyr Zdomskyy
We prove that each closed locally continuum- connected subspace of a finite dimensional topological group is locally compact. This allows us to construct many 1-dimensional metriza…
On 2-swelling topological groups
Taras Banakh
A topological group is called 2-swelling if for any compact subsets and elements the inclusions and $aA\cap bB\subset c(A…
The closed Steinhaus properties of -ideals on topological groups
Taras Banakh, Lesia Karchevska, Alex Ravsky
We prove that any meager quasi-analytic subgroup of a topological group belongs to every -ideal on possessing the closed -Steinhaus property for some…
On the sequential closure of the set of continuous functions in the space of separately continuous functions
Taras Banakh
For separable metrizable spaces and a metrizable topological group by we denote the space of all separately continuous functions endow…
Detecting -sets in topological groups and linear metric spaces
Taras Banakh
We prove that if an analytic subset of a linear metric space is not contained in a -subset of then for every Polish convex set with dense affine hull in t…
Kuratowski monoids of -topological spaces
T. Banakh, O. Chervak, T. Martynyuk +3
Generalizing the famous 14-set closure-complement Theorem of Kuratowski from 1922, we prove that for a set endowed with pairwise comparable topologies $τ_1\subset\dots\subs…