On semi separation properties (Q1062306)

This paper considers semi separation axioms for topological spaces, especially their relationship to the separation properties of the associated \(\alpha\)-topologies. The semi-\(T_ 2\) property is characterized in terms of regular semi-open sets, and shown to be a semi- regular property. It is also established that semi-regular properties are shared by a topological space and its associated \(\alpha\)-space.