On soft submaximal spaces

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


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.