ON τ-BOUNDED SPACES

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Published: Oct 25, 2024
Keywords:
τ-bounded space, T2 (Hausdorff space), T3 (Regular space), T4 (Normal space), local weak density, local density.

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Karimov Sardor Yashinovich
Assistant at the Department of Mathematics and Natural Sciences, Almalyk branch, Tashkent State Technical University

Abstract

In this article, it has been proven that τ-bounded spaces, if they satisfy the T2 (Hausdorff space) condition, are also T3 (Regular space) but not necessarily T4 (Normal space), with a counterexample provided. Additionally, the relationship between local weak density and local density has been examined.

Article Details

How to Cite
Karimov Sardor Yashinovich. (2024). ON τ-BOUNDED SPACES. American Journal of Interdisciplinary Research and Development, 33, 111–113. Retrieved from https://ajird.journalspark.org/index.php/ajird/article/view/1325
Issue
Vol. 33 (2024)
Section
Articles