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math.GN2021
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…
math.FA2021
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…
math.CA2021
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.