V. Uspenskij

collaborators

4 papers

math.GN2021

Real-valued measurable cardinals and sequentially continuous homomorphisms

Vladimir Uspenskij

A.V.Arkhangel'skii asked in 1981 if the variety $V$ 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 $L (X)$ nuclear?

Arkady Leiderman, Vladimir Uspenskij

Given a class $P$ of Banach spaces, a locally convex space (LCS) $E$ is called {\em multi- $P$ } if $E$ can be isomorphically embedded into a product of spaces that…

math.RT2021

On epimorphisms in some categories of infinite-dimensional Lie groups

Vladimir G. Pestov, Vladimir V. Uspenskij

Let $X$ be a smooth compact connected manifold. Let $G=\mbox{Diff}\, X$ be the group of diffeomorphisms of $X$ , equipped with the $C^{\infty}$ -topology, and let $H$ be the stabilizer…

math.GN2002

Compactifications of topological groups