MICHAEL VASILIEVICH SMUROV

Assistant Professor of Department of General Topology and Geometry

Born on June 15, 1958

Candidate of Sciences (Ph.D.) in Physics and Mathematics (1986)

Author of about 10 scientific works

M.V.Smurov's main results are devoted to geometric theory of covariant functors. He proved that, if $X$ and $Y$ are AE(1)-compacta which are homogeneous with respect to character, then their exponents are homeomorphic if and only if $X$ and $Y$ are themselves homeomorphic. Smurov also proved that the exponent space of a non-metrizable compactum is not an absolute extensor in dimension 1. A series of other interesting results by Smurov is related to power functors and the functor of probability measures; in particular, he evaluated the character of topological non-homogeneity for spaces of the form $exp(K^\tau ^)$ and $P(K^\tau ^)$. He also obtained interesting sufficient conditions for a normal finitary functor to be a power functor.