Local Pre-Hausdorff Objects in the Category of Interval Spaces

Samed Özkan

doi:10.47000/tjmcs.1746628

Local Pre-Hausdorff Objects in the Category of Interval Spaces

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

Supporting Institution

Research Fund of the Nevşehir Hacı Bektaş Veli University

Project Number

HDP24S03

References

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Details

Primary Language

English

Subjects

Topology

Journal Section

Research Article

Authors

Samed Özkan ^*
0000-0003-3063-6168
Türkiye

Publication Date

February 23, 2026

Submission Date

July 20, 2025

Acceptance Date

September 28, 2025

Published in Issue

Year 2026 Volume: 18 Number: 1

DOI

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

IZ

https://izlik.org/JA86NC38SU

Cite

RIS / Bibtex

APA

Özkan, S. (2026). Local Pre-Hausdorff Objects in the Category of Interval Spaces. Turkish Journal of Mathematics and Computer Science, 18(1), 67-77. https://doi.org/10.47000/tjmcs.1746628

AMA

1.Özkan S. Local Pre-Hausdorff Objects in the Category of Interval Spaces. TJMCS. 2026;18(1):67-77. doi:10.47000/tjmcs.1746628

Chicago

Özkan, Samed. 2026. “Local Pre-Hausdorff Objects in the Category of Interval Spaces”. Turkish Journal of Mathematics and Computer Science 18 (1): 67-77. https://doi.org/10.47000/tjmcs.1746628.

EndNote

Özkan S (February 1, 2026) Local Pre-Hausdorff Objects in the Category of Interval Spaces. Turkish Journal of Mathematics and Computer Science 18 1 67–77.

IEEE

[1]S. Özkan, “Local Pre-Hausdorff Objects in the Category of Interval Spaces”, TJMCS, vol. 18, no. 1, pp. 67–77, Feb. 2026, doi: 10.47000/tjmcs.1746628.

ISNAD

Özkan, Samed. “Local Pre-Hausdorff Objects in the Category of Interval Spaces”. Turkish Journal of Mathematics and Computer Science 18/1 (February 1, 2026): 67-77. https://doi.org/10.47000/tjmcs.1746628.

JAMA

1.Özkan S. Local Pre-Hausdorff Objects in the Category of Interval Spaces. TJMCS. 2026;18:67–77.

MLA

Özkan, Samed. “Local Pre-Hausdorff Objects in the Category of Interval Spaces”. Turkish Journal of Mathematics and Computer Science, vol. 18, no. 1, Feb. 2026, pp. 67-77, doi:10.47000/tjmcs.1746628.

Vancouver

1.Samed Özkan. Local Pre-Hausdorff Objects in the Category of Interval Spaces. TJMCS. 2026 Feb. 1;18(1):67-7. doi:10.47000/tjmcs.1746628