Semi-Convergence in Advanced Topological Frameworks

Year 2026, Volume: 18 Issue: 1, 171 - 174, 23.02.2026

Prasenjit Bal , Parthiba Das

https://doi.org/10.47000/tjmcs.1655143

https://izlik.org/JA87FL98SF

Abstract

This study establishes the interplay between standard convergence and semi-convergence in topological spaces. Convergence and semi-convergence differences are illustrated with a counterexample. Additionally, an examination of semi-convergence's behavior in irresolute mappings reveals how it affects continuity and function characteristics. Semi-limit points and semi-cluster points are defined in new ways and their features in different topological settings are described by essential theorems. The final section looks at how semi-convergence behaves in product spaces, showing how it interacts with product topologies and establishing important findings that enhance the field's understanding of its study.

Keywords

Semi-open set , Semi-convergence , Semi-limit point , Semi-cluster point , product space.

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