On Soft Somewhere Dense Open Functions and Soft Baire Spaces

Baravan A. Asaad; Tareq M. Al-shami; Zanyar A. Ameen

doi:10.24996/ijs.2023.64.1.35

Authors

Baravan A. Asaad Deptartment of Mathematics, Faculty of Science, University of Zakho, Zakho 42002, Iraq / Department of Computer Science, College of Science, Cihan University-Duhok, Iraq https://orcid.org/0000-0002-2049-2044
Tareq M. Al-shami Department of Mathematics, Sana’a University, P.O.Box 1247 Sana’a, Yemen
Zanyar A. Ameen Department of Mathematics, College of Science, University of Duhok, Duhok 42001, Iraq

DOI:

https://doi.org/10.24996/ijs.2023.64.1.35

Keywords:

soft open, soft semiopen, soft somewhat open, soft somewhere dense open, Baire space, fuzzy Baire space, soft Baire space

Abstract

The paper starts with the main properties of the class of soft somewhere dense open functions and follows their connections with other types of soft open functions. Then preimages of soft sets with Baire property and images of soft Baire spaces under certain classes of soft functions are discussed. Some examples are presented that support the obtained results. Further properties of somewhere dense open functions related to different types of soft functions are found under some soft topological properties.