Introduction to temporal topology

Volume 34, Issue 3, pp 205--216 https://dx.doi.org/10.22436/jmcs.034.03.01

Publication Date: March 07, 2024 Submission Date: January 22, 2024 Revision Date: February 04, 2024 Accteptance Date: February 06, 2024

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Authors

A. Mhemdi - Department of Mathematics, College of Sciences and Humanities in Aflaj, Prince Sattam bin Abdulaziz University, Riyadh, Saudi Arabia. T. M. Al-Shami - Department of Mathematics, Sana'a University, P.O. Box 1247, Sana'a, Yemen. - Department of Engineering Mathematics \(\&\) Physics, Faculty of Engineering \(\&\) Technology, Future University, New Cairo, Egypt.

Abstract

Temporal topology studies chronological variation of the topology of an object (set). In this paper, we will present the basic definitions related to temporal topology. In addition, the classical continuity and separations axioms known in general topology will be generalized to temporal topological spaces. Also, we will show that the subcategory of temporal \(T_{0Q}\)-spaces is reflective in the category of temporal topological spaces. The necessary illustrative examples to elaborate on the obtained results and relationships are provided.

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Keywords

• Topological space
• operators of interior and closure
• continuity
• separation axioms
• category of \(T_0\)-space

MSC

•  54A05
•  54D10
•  18A40

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