Topological Near Groups
A. Maheswari *
Department of Mathematics, Government Arts College (Autonomous), Coimbatore, Tamil Nadu, India.
Gnanambal Ilango
Department of Mathematics, Government Arts College (Autonomous), Coimbatore, Tamil Nadu, India.
*Author to whom correspondence should be addressed.
Abstract
Aims/ Objectives: The concept of topological group is a simple combination of the concepts of abstract group and topological space. The purpose of this paper is to combine the concepts of topological space and near groups to dene topological near groups on an nearness approximation space and study its properties.
Keywords: Near sets, near group, sub near group, topological group, topological near group