Quotient on some Generalizations of topological group

Authors

A. Muneesh Kumar, Department of Mathematics, PSR Engineering College, Sivakasi, Tamilnadu, India.Follow
P. Gnanachandra, Centre for Research and Post Graduate Studies in Mathematics, Ayya Nadar Janaki Ammal College, Sivakasi, Tamilnadu, India.Follow
B. Ananda Priya, Centre for Research and Post Graduate Studies in Mathematics, Ayya Nadar Janaki Ammal College, Sivakasi, Tamilnadu, India.Follow

Abstract

In this paper, we define some generalizations of topological group namely -topological group, -topological group and -topological group with illustrative examples. Also, we define grill topological group with respect to a grill. Later, we deliberate the quotient on generalizations of topological group in particular -topological group. Moreover, we model a robotic system which relays on the quotient of -topological group.

Keywords

b-Topological group, Generalized open, Grill topological group, Quotient space, Topology

Article Type

Special Issue Article

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite this Article

Kumar, A. Muneesh; Gnanachandra, P.; and Priya, B. Ananda (2023) "Quotient on some Generalizations of topological group," Baghdad Science Journal: Vol. 20: Iss. 1, Article 36.
DOI: https://doi.org/10.21123/bsj.2023.8411