A Counter Example in Generalized Topological Spaces

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.