ON τ-BOUNDED SPACES

Authors

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

Keywords:

τ-bounded space, T2 (Hausdorff space), T3 (Regular space), T4 (Normal space), local weak density, local density.

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.

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Published

2024-10-25

Issue

Vol. 33 (2024)

Section

Articles

How to Cite

ON τ-BOUNDED SPACES. (2024). American Journal of Interdisciplinary Research and Development, 33, 111-113. https://ajird.journalspark.org/index.php/ajird/article/view/1325