T4, Urysohn’s lemma, and Tietze extension theorem for constant filter convergence spaces | Zendy

Tesnim Meryem Baran | Zendy; Ayhan Erciyes | Zendy

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T4, Urysohn’s lemma, and Tietze extension theorem for constant filter convergence spaces

Author(s) -

Tesnim Meryem Baran,

Ayhan Erciyes

Publication year - 2021

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-2012-101

Subject(s) - mathematics , constant (computer programming) , lemma (botany) , filter (signal processing) , convergence (economics) , extension (predicate logic) , discrete mathematics , pure mathematics , computer science , ecology , poaceae , economics , biology , programming language , economic growth , computer vision

In this paper, we characterize various local forms of T4 constant filter convergence spaces and investigate the relationships among them as well as showing that the full subcategories of the category of constant filter convergence spaces consisting of local T4 constant filter convergence spaces that are hereditary. Furthermore, we examine the relationship between local T4 and general T4 constant filter convergence spaces. Finally, we present Urysohn’s lemma and Tietze extension theorem for constant filter convergence spaces.

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