Geodesic
Separation axioms, Urysohn's Lemma and Tietze Extention Theorem for extended pseudo-quasi-semi metric spaces
Filomat, Tome 36 (2022) no. 2, p. 703

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DOI

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
DOI : 10.2298/FIL2202703B
Classification : 54B30, 18B99, 18D15, 54A05, 54A20, 54D10
Keywords: Topological category, pre-Hausdorff objects, Hausdorff objects, extended pseudo-quasi-semi metric spaces 
Tesnim Meryem Baran; Muammer Kula. Separation axioms, Urysohn's Lemma and Tietze Extention Theorem for extended pseudo-quasi-semi metric spaces. Filomat, Tome 36 (2022) no. 2, p. 703 . doi: 10.2298/FIL2202703B
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     title = {Separation axioms, {Urysohn's} {Lemma} and {Tietze} {Extention} {Theorem} for extended pseudo-quasi-semi metric spaces},
     journal = {Filomat},
     pages = {703 },
     year = {2022},
     volume = {36},
     number = {2},
     doi = {10.2298/FIL2202703B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2202703B/}
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