Further properties of soft somewhere dense continuous functions and soft Baire spaces

Volume 32, Issue 1, pp 54--63 http://dx.doi.org/10.22436/jmcs.032.01.05

Publication Date: July 11, 2023 Submission Date: May 13, 2023 Revision Date: May 29, 2023 Accteptance Date: June 09, 2023

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Authors

Z. A. Ameen - Department of Mathematics, College of Science, University of Duhok, Duhok 42001, Iraq. R. Abu-Gdairi - Department of Mathematics, Faculty of Science, Zarqa University, P.O. Box 13110, Zarqa, Jordan. T. M. Al-Shami - Department of Mathematics, Sana'a University, P.O. Box 1247, Sana'a, Yemen. - Department of Engineering Mathematics \(\&\) Physics, Faculty of Engineering \(\&\) Technology, Future University, Duhok, Egypt. B. A. Asaad - Department of Mathematics, Faculty of Science, University of Zakho, Zakho 42002, Iraq. - Department of Computer Science, College of Science, Cihan University-Duhok, Iraq. M. Arar - Department of Mathematics, College of Sciences and Humanities in Aflaj, Prince Sattam bin Abdulaziz University, Riyadh, Saudi Arabia.

Abstract

In this paper, we first explore more properties of soft somewhere dense continuous functions. Then, we discuss the preservation of soft Baire property and soft Baire category. We give some concrete examples to illustrate how our findings extend some conclusions and connections made in the literature.

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Keywords

• Soft continuous
• soft somewhat continuous
• soft semicontinuous
• soft somewhere dense continuous
• fuzzy Baire space
• soft Baire space

MSC

•  54C08
•  54C10
•  54E52
•  03E72

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