New Topological Group Construction via *h- Set
Résumé
This paper introduces the class of *h - topological groups, applying *h -continuous group operations. We establish several basic properties and characterizations that distinguish them from classical topological groups. A collection of examples is provided to illustrate these differences and to demonstrate the scope of the framework. Also we define *h - irresolute topological groups and investigate their connection with *h - topological groups, proving that every *h - irresolute topological group is *h - topological, whereas the converse does not generally hold. Collectively, these results extend the framework of generalized topologies and offer a broader foundation for analyzing algebraic structures equipped with non-standard
notions of openness.
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Références
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