A Counter Example in Generalized Topological Spaces

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Murad Mustafa Arar

Abstract

In this note, we give a counter example to show that in [Theorem 5.4, 5] is not true. Precisely:  We show that there exists a nonempty countable \(\mu\)-compact \(\mu T_{2}\)-space \(X\) such that every  point of \(X\) is a \(\mu\)-cluster point of \(X\), and \(X\) has a non-empty nested collection of \(\mu\)-open sets.

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How to Cite
Arar, M. M. . (2022). A Counter Example in Generalized Topological Spaces. Journal of Advanced Studies in Topology, 5(2), 44–46. Retrieved from http://m-sciences.com/index.php/jast/article/view/154
Section
Research Articles