Compactness and Rough Isomorphism on Topological Simple Rough Groups

Abstract

In this paper, we study about the compactness on topological simple rough groups. In particular we discuss the open mapping theorems and rough isomorphism theorems in topological simple rough groups. Also, we define a rough double coset space and discuss their role in topological simple rough groups. Further, we examine the relationship between compactness and continuity of quotient maps.