33 citations · 687 across the 231 of their papers we have counts for
13 papers · 1 filter
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…
Spaces of nonnegatively curved surfaces
Taras Banakh, Igor Belegradek
We determine the homeomorphism type of the space of smooth complete nonnegatively curved metrics on surfaces of positive Euler characteristic equipped with the topology of un…
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…