Separation Axioms, Urysohn's Lemma and Tietze Extention Theorem for Extended Pseudo-Quasi-Semi Metric Spaces

Abstract

In this paper, we characterize each of various forms of T0, T1,
T2, and pre-Hausdor extended pseudo-quasi-semi metric spaces as well as
examine how these generalizations are related. Moreover, we give some invariance
properties of these T0, T1, and T2 extended pseudo-quasi-semi metric
spaces and investigate the relationship among each of irreducible Ti; i = 1; 2
extended pseudo-quasi-semi metric spaces. Finally, we present Urysohn's
Lemma and Tietze Extention Theorem for extended pseudo-quasi-semi metric
spaces.