Local Pre-Hausdorff Objects in the Category of Interval Spaces

Year 2026, Volume: 18 Issue: 1, 67 - 77, 23.02.2026

Samed Özkan

https://doi.org/10.47000/tjmcs.1746628

https://izlik.org/JA86NC38SU

Abstract

In this paper, we characterize the local $T_{0}$, $T_{1}$, pre-Hausdorff and Hausdorff objects in the topological category of interval spaces and interval-preserving maps and investigate the relationships among them. Then, we show that all these objects are hereditary and productive.

Keywords

Topological category , interval spaces , local separation axioms , local pre-Hausdorff spaces.

Supporting Institution

Research Fund of the Nevşehir Hacı Bektaş Veli University

Project Number

HDP24S03

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