Semi-quotient mappings and spaces

Abstract

In this paper, we continue the study of s-topological and irresolute-topological groups. We define semi-quotient mappings which are stronger than semi-continuous mappings, and then consider semi-quotient spaces and groups. It is proved that for some classes of irresolute-topological groups (G, *, τ) the semi-quotient space G/H is regular. Semi-isomorphisms of s-topological groups are also discussed.

Keywords

• semi-continuity
• semi-homeomorphism
• s-topological group
• irresolute topological group
• semi-quotient space
• semi-quotient group
• 54h11
• 22a05
• 54c08
• 54h99