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Journals / Journal of Universal Mathematics / 2026 / Cilt: 8 Sayı: 1

RE-VISIT I*-SEQUENTIAL TOPOLOGY

Hassina Sabor Behmanush(MERSİN ÜNİVERSİTESİ, MERSİN MESLEK YÜKSEKOKULU)0009-0004-3433-4209
Mehmet Küçükaslan(MERSİN ÜNİVERSİTESİ)0000-0002-3183-3123
Pages
20–32
Publication Date
2025-01-31
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AI Summary & Key Takeaways

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

Additionally, I*-sequential compactness and related notions are defined and investigated.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, I*-sequential topology is defined on a topological space (X, τ) by considering any ideal I which is a family of subset of natural numbers N.
📊
Key Findings & Data:It has been proven that I∗-sequential topology is finer than I-sequential topology.
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Conclusion & Impact:Additionally, I*-sequential compactness and related notions are defined and investigated.
🔬Design:Teorik Makale
📍Scope:Comprehensive Sample
⚙️Variables:I- convergence · I∗-convergence · Sequentially I-topology

Abstract

In this paper, I*-sequential topology is defined on a topological space (X, τ) by considering any ideal I which is a family of subset of natural numbers N. It has been proven that I∗-sequential topology is finer than I-sequential topology. In connection with this fact, the notions I*-continuity and I∗-sequential continuity are shown to be coincided in this topology. Additionally, I*-sequential compactness and related notions are defined and investigated.

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Cite This Article

Behmanush, H. S., Küçükaslan, M. (2025). RE-VISIT I*-SEQUENTIAL TOPOLOGY. Journal of Universal Mathematics, Cilt: 8 Sayı: 1, 20–32. https://doi.org/10.33773/jum.1555200

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