Open AccessSeparation axioms, Urysohn’s Lemma and Tietze Extention Theorem for extended pseudo-quasi-semi metric spaces
Author(s) -
Tesnim Meryem Baran,
Muammer Kula
Publication year - 2022
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2202703b
Subject(s) - mathematics , lemma (botany) , metric space , hausdorff space , convex metric space , pure mathematics , injective metric space , uniform continuity , separation axiom , metric map , axiom , metric (unit) , fréchet space , discrete mathematics , interpolation space , functional analysis , geometry , ecology , operations management , poaceae , economics , biology , biochemistry , chemistry , gene
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.