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.
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
