Research Journal of Applied Sciences

Related Reflections to the Axioms of Separation in Semigroups with Topologies and Some Applications

Julio Cesar Hernandez Arzusa, Ruben Dario Ortiz and Ana Magnolia Marin Ramirez

Abstract: In this study, we study the reflections of the category of topological and semitopological semigroups on the category of the class of T₀ -T₃ and regular topological spaces and we apply its properties to find conditions under which a topological semigroup has the Souslin property.