Some remainders properties of uniform spaces and uniformly continuous mappings

Abstract

In the theory of uniform spaces and uniformly continuous mappings one of the interesting questions is the study of remainders of uniform spaces and uniformly continuous mappings. In this work we study some remainders properties of uniform spaces and uniformly continuous mappings. In particular, it is established the completeness, τ-boundedness and compactness of remainders of uniform spaces, as well as the uniform perfectness of remainders of uniformly continuous mappings.In the theory of uniform spaces and uniformly continuous mappings one of the interesting questions is the study of remainders of uniform spaces and uniformly continuous mappings. In this work we study some remainders properties of uniform spaces and uniformly continuous mappings. In particular, it is established the completeness, τ-boundedness and compactness of remainders of uniform spaces, as well as the uniform perfectness of remainders of uniformly continuous mappings.