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Dergiler / 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
Sayfa
—
Yayın Tarihi
2026-02-23
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

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Amaç & Hipotez:This study establishes the interplay between standard convergence and semi-convergence in topological spaces.
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Temel Bulgular & Veri:Convergence and semi-convergence differences are illustrated with a counterexample.
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Sonuç & Katkı: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.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (13)

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