In this paper, we characterize each of various forms of T 0 , T 1 , T 2 , 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 T 0 , T 1 , and T 2 extended pseudo-quasi-semi metric spaces and investigate the relationship among each of irreducible T i , 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