93 citations · 214 across the 18 of their papers we have counts for
4 papers · 1 filter
Countably compact groups having minimal infinite powers
Dikran Dikranjan, Vladimir Uspenskij
We answer the question, raised more than thirty years ago, on whether the power (G raised to the power omega) of a countably compact minimal Abelian group G is minimal, by showing…
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…
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…
On epimorphisms in some categories of infinite-dimensional Lie groups
Vladimir G. Pestov, Vladimir V. Uspenskij
Let be a smooth compact connected manifold. Let $G=\mbox{Diff}\, X$ be the group of diffeomorphisms of , equipped with the -topology, and let be the stabilizer…