Properties of locally semi-compact Ir-topological groups

Abstract

This study investigates some topological properties of locally semi-compact Ir-topological groups and establishes the relationship between Ir-topological groups and semi-compact spaces. The proved theorems generalize the corresponding results of Ir-topological group. Finally, we define a quotient topology on the Ir-topological group and study some topological properties of the space.

Keywords

• semi-open sets
• locally semi-compact spaces
• ir-topological groups
• 22b05
• 22b10
• 22d05
• 54a05