Mitrofan M. Choban

General theorems on functional equivalence of topological spaces

Abstract In this paper we present some general theorems on functional equivalence of spaces which give further generalizations of many well-known results. In particular, we prove that in the class of spaces of the point countable type the metrizability, the p -paracompactness and the paracompactness are l -invariants.

Paracompactness, Selections and Factorization Principles

Factorization principles for set-valued mappings are obtained. These principles are applied in theorems for selections of set-valued mappings from paracompact spaces.