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math.GN2021
Real-valued measurable cardinals and sequentially continuous homomorphisms
Vladimir Uspenskij
A.V.Arkhangel'skii asked in 1981 if the variety of topological groups generated by free topological groups on metrizable spaces coincides with the class of all topolo…
math.GN2021
Is the free locally convex space nuclear?
Arkady Leiderman, Vladimir Uspenskij
Given a class of Banach spaces, a locally convex space (LCS) is called {\em multi-} if can be isomorphically embedded into a product of spaces that…
math.GN2002
Compactifications of topological groups
Vladimir Uspenskij
Every topological group has some natural compactifications which can be a useful tool of studying . We discuss the following constructions: (1) the greatest ambit is…