Separation axioms, Urysohn’s Lemma and Tietze Extention Theorem for extended pseudo-quasi-semi metric spaces

In this paper, we characterize each of various forms of T0, T1, T2, and pre-Hausdorff 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.