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September 10, 2025Open Access

On Almost ^ (₁, ₂) -continuity and Weak ^ (₁, ₂) -continuity

NVNongluk ViriyapongMahasarakham University ASAreeyuth Sama-AeMahasarakham University CBChawalit BoonpokMahasarakham University

Key Points

Almost tau* continuity reveals important aspects of function behavior across different contexts.
Weak tau* continuity offers a less stringent condition compared to almost tau* continuity in function analysis.
The study investigates how both types of continuity relate to each other, providing a comprehensive understanding.
Characterizations developed in this research can aid in further studies on continuity concepts.

Abstract

This paper is concerned with the concepts of almost ^ (₁, ₂) -continuous functions and weakly ^ (₁, ₂) -continuous functions. Moreover, some characterizationsof almost ^ (₁, ₂) -continuous functions and weakly ^ (₁, ₂) -continuous functions are investigated. Furthermore, the relationships between almost ^ (₁, ₂) -continuity and weakly ^ (₁, ₂) -continuity are considered.

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