Generalization of soft topological groups

Nunokawa, M.; Duman, E. Yavuz; Soko, J.; Tantawy, O.; Kandil, S. A.; ElShamy, A.

doi:10.1186/s42787-020-00075-7

Generalization of soft topological groups

Authors

¹ University of Gunma, Hoshikuki-cho 798-8, Chuou-Ward, Chiba 260-0808, Japan

² Department of Mathematics and Computer Science, I_stanbul Ku¨ltu¨r University, I_stanbul, Turkey

³ Department of Mathematics, Rzeszo´w University of Technology, Al. Powstan´co´w Warszawy 12, 35-959 Rzeszo´w, Poland

⁴ Basic Science Department, Canadian International college (CIC), Cairo, Egypt

10.1186/s42787-020-00075-7

Abstract

There exists two different definitions for soft topological groups, the first due to Hida
and the other due to Tariq Shah. In this paper, we give a generalization for both of
them, and also, we study the topological properties for the construction of finer soft
topology made by Nazmul and use the same technique to construct a soft topological
group via Hida concept starting from a parametrized family of topological groups.
Then, we introduce the concept of soft rough and rough soft topological group to
generalize the concept of rough and soft topological group.

Keywords