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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 52 Issue: 1

Semitopological $\delta$-groups

Ebubekir İnan(ADIYAMAN UNIVERSITY)0000-0002-7269-8941
Mustafa Uçkun(ADIYAMAN UNIVERSITY)0000-0003-1813-5272
Pages
—
Publication Date
2023-02-15
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AI Summary & Key Takeaways

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

Fundamental system of open $\delta$-neighborhoods and related properties were investigated.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The aim of this paper is to introduce semitopological $\delta$-group and topological $\delta$-group with the concept of $\delta$-group which arise from approximately algebraic structures.
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Key Findings & Data:Furthermore, it is shown that product space determined with $\delta$-topological subspaces is a $\delta$-topological space.
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Conclusion & Impact:Fundamental system of open $\delta$-neighborhoods and related properties were investigated.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:topological group · approximately group · proximity space

Abstract

The aim of this paper is to introduce semitopological $\delta$-group and topological $\delta$-group with the concept of $\delta$-group which arise from approximately algebraic structures. Furthermore, it is shown that product space determined with $\delta$-topological subspaces is a $\delta$-topological space. Fundamental system of open $\delta$-neighborhoods and related properties were investigated.

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Cite This Article

İnan, E., Uçkun, M. (2023). Semitopological $\delta$-groups. Hacettepe Journal of Mathematics and Statistics, Volume: 52 Issue: 1. https://doi.org/10.15672/hujms.1101438

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