Turkish Journal of Mathematics
Article Title
T$_{4}$, Urysohn's lemma, and Tietze extension theorem for constant filter convergence spaces
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
