Abstract

THE EXTENSION OF CONTINUOUS FUNCTIONS ON NORMAL SPACES

Dr. Ranjan Kumar Singh*

Abstract

The paper deals about real continuous function on topological spaces and its extension on normal spaces and show that the uniformity of a uniform space R whose vicinity filter R has a countable can be defined by a gauge.

Keywords: Hausdroff space, regular space, compact space, homeomorphic, parallelotope, Metrizable uniform space, gauge.