1 citations · 1 across the 4 of their papers we have counts for
16 papers
On pseudobounded and premeager paratopological groups
Taras Banakh, Alex Ravsky
Let be a paratopological group. Following F. Lin and S. Lin, we say that the group is pseudobounded, if for any neighborhood of the identity of , there exists a natu…
Semitopological modules
Taras Banakh, Alex Ravsky
Given a topological ring , we study semitopological -modules, construct their completions, Bohr and borno modifications. For every topological space , we construct the fre…
The fair soup division and approximating numbers
Alex Ravsky
We consider a recent The Vee's fair soup division problem, provide its partial solution, and pose a related open problem.
Suitable sets for paratopological groups
Fucai Lin, Alex Ravsky, Tingting Shi
A paratopological group has a {\it suitable set} . The latter means that is a discrete subspace of , is closed, and the subgroup of $…
A note on approximation of continuous functions on normed spaces
M. A. Mytrofanov, A. V. Ravsky
Let be a real separable normed space admitting a separating polynomial. We prove that each continuous function from a subset of to a real Banach space can be unifor…
A countably compact topological group with the non-countably pracompact square
Serhii Bardyla, Alex Ravsky, Lyubomyr Zdomskyy
Under Martin's Axiom we construct a Boolean countably compact topological group whose square is not countably pracompact.