Hausdorff objects
Hacettepe Journal of Mathematics and Statistics, vol.54, no.3, pp.928-938, 2025 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 54 Issue: 3
- Publication Date: 2025
- Doi Number: 10.15672/hujms.1442454
- Journal Name: Hacettepe Journal of Mathematics and Statistics
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
- Page Numbers: pp.928-938
- Keywords: pre-Hausdorff objects, reciprocal limit spaces, sober spaces, T2 objects, uniform limit spaces
- Open Archive Collection: AVESIS Open Access Collection
- Erciyes University Affiliated: Yes
Abstract
In previous papers, several extensions of the T2 separation property in topology to a topological category were compared. The aim of this paper is to develop further results relating to these extensions as well as to solve several open problems. Moreover, we show one of these T2, namely KT2 limit spaces and reciprocal limit spaces are equivalent and every KT2 limit space induces the associated complete uniform limit space. Finally, we compare our results and give some applications.