A Discourse on Completely Regular Space
Samuel Amoh Gyampoh *
Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana.
Frank Kwarteng Nkrumah
Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana.
*Author to whom correspondence should be addressed.
Abstract
This study is an investigation of some of the relationships which exist between various generalizations of completely regular spaces. The primary aim of the study is to look at the separation axioms and delve more into one of the claims about completely regular space; “Every completely regular space is a regular space as well”.
Keywords: Topological space, neighbourhood; open sets, closed sets, continuous map, Kolmogorov space, Fréchet space, regular space, normal space, completely regular space.