Related reflections to the axioms of separation in semigroups with topologies and some applications

Abstract

In this paper we study the reflections of the category of topological and semitopological semigroups on the category of the class of topological spaces satisfying separation axioms $T_{0}$, $T_{1}$, $T_{2}$, $T_{3}$ and regular and we apply its properties for to find conditions under which a topological semigroup has the Souslin property.