Local Pre-Hausdorff Objects in the Category of Interval Spaces

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.

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Publication Details

Journal
Turkish Journal of Mathematics and Computer Science
Published
2026-02-23
DOI
https://doi.org/10.47000/tjmcs.1746628
Primary Topic
Advanced Topology and Set Theory
Type
article
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article

Local Pre-Hausdorff Objects in the Category of Interval Spaces

Samed Özkan
Turkish Journal of Mathematics and Computer Science
Advanced Topology and Set Theory
article

Local Pre-Hausdorff Objects in the Category of Interval Spaces

Samed Özkan
article en

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.

Turkish Journal of Mathematics and Computer ScienceVol. 18(1)
Nevşehir Hacı Bektaş Veli University (TR)
Reduced inequalities
Openalex Percentile: Top 43%
Advanced Topology and Set Theory
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