k-partial groups

Abstract

In this paper, we introduce the concept of k̲−partial groups and discuss some of their basic properties. We introduce the category kpg of k̲−partial groups, which is more convenient than the category Sstg of strong semilattices of topological groups [1] and satisfies the same nice properties of Sstg.

Keywords

• Partial group
• Topological group
• Topological partial group
• K-Space
• Identification topology