Volume 26 • Issue 4 • PP: 77-93 • 2025
Supra Soft Continuity Via Supra Soft Omega Open Sets
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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.
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