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

Tesnim Meryem Baran | Zendy; Muammer Kula | Zendy

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Separation 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.

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