upra Soft Continuity Via Supra Soft Omega Open Sets

Dina Abuzaid1 , Samer Al-Ghour2,˚

1Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

2Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Jordan

Emails: dabuzaid@kau.edu.sa; algore@just.edu.jo

Abstract

This paper presents four new types of continuity in the context of supra-soft topological spaces: supra-soft ω-

continuity, supra-soft ω-irresoluteness, supra-soft contra-continuity, and supra-soft contra-ω-continuity. The

main contribution is the clear definitions and detailed study of these concepts, which helps us better understand

how they work and how they are interconnected. We carefully examine how these new concepts connect

among themselves and with analogous concepts in traditional supra-topological spaces. We also demonstrate

how these different forms of continuity behave under common mathematical operations, such as composition

and restriction. To make everything easier to understand, we introduce several examples that emphasize how

these new concepts compare with existing, well-known concepts, giving a better picture of how continuity

works in a more generalized topological settings.

Keywords: Supra ω-open sets; Supra-soft continuity; Supra-soft irresoluteness; Supra generated soft topology