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Journals / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 18 Issue: 1

Semi-Convergence in Advanced Topological Frameworks

Prasenjit Bal(ICFAI University Tripura)0000-0001-5047-7390
Parthiba Das(ICFAI University Tripura)0009-0000-2191-0327
Pages
—
Publication Date
2026-02-23
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This study establishes the interplay between standard convergence and semi-convergence in topological spaces.
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Key Findings & Data:Convergence and semi-convergence differences are illustrated with a counterexample.
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Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Semi-open set · Semi-convergence · Semi-limit point

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.

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Cite This Article

Bal, P., Das, P. (2026). Semi-Convergence in Advanced Topological Frameworks. Turkish Journal of Mathematics and Computer Science, Volume: 18 Issue: 1. https://doi.org/10.47000/tjmcs.1655143

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