T$_{4}$, Urysohn's lemma, and Tietze extension theorem for constant filter convergence spaces

Authors

TESNİM MERYEM BARAN
AYHAN ERCİYES

DOI

10.3906/mat-2012-101

Abstract

In this paper, we characterize various local forms of T$_{4}$ 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 T$_{4}$ constant filter convergence spaces that are hereditary. Furthermore, we examine the relationship between local T$_{4}$ and general T$_{4}$ constant filter convergence spaces. Finally, we present Urysohn's lemma and Tietze extension theorem for constant filter convergence spaces.

Keywords

Topological category, T$_{4}$ objects, T$_{4}$ objects, constant filter convergence spaces

First Page

843

Last Page

855

Recommended Citation

BARAN, TESNİM MERYEM and ERCİYES, AYHAN (2021) "T$_{4}$, Urysohn's lemma, and Tietze extension theorem for constant filter convergence spaces," Turkish Journal of Mathematics: Vol. 45: No. 2, Article 13. https://doi.org/10.3906/mat-2012-101
Available at: https://journals.tubitak.gov.tr/math/vol45/iss2/13