On soft submaximal spaces

Samer Al Ghour; Zanyar A Ameen

doi:10.1016/j.heliyon.2022.e10574

On soft submaximal spaces

Heliyon. 2022 Sep 13;8(9):e10574. doi: 10.1016/j.heliyon.2022.e10574. eCollection 2022 Sep.

Authors

Samer Al Ghour¹, Zanyar A Ameen²

Affiliations

¹ Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, Jordan.
² Department of Mathematics, College of Science, University of Duhok, Duhok 42001, Iraq.

Abstract

In the present paper, detailed properties of soft submaximal topological spaces have been discussed. It starts by examining how well soft submaximal spaces behave when subjected to some operations, such as: taking soft subspaces, soft products, soft topological sum and images/preimages under certain soft mappings. Furthermore, several characterizations of soft submaximal spaces are obtained with respect to various types of soft subsets of soft topological spaces and their simple extensions.

Keywords: Soft dense set; Soft locally closed set; Soft submaximal space.