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Journals / Hacettepe Journal of Mathematics and Statistics / 2022 / Cilt: 51 Sayı: 1

Regular $\Gamma$-irresolvable spaces

Ahmad AL-OMARİ
Takashi NOİRİ
Pages
95–100
Publication Date
2022-02-14
DOI
—
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AI Summary & Key Takeaways

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

In this paper by using regular open sets and $\Gamma$-local functions, we introduce and investigate the notions of $\mathcal{I}_R$-dense sets, $\mathcal{I}_R$-hyperconnectedness, $\mathcal{I}^*_R$-hyperconnectedness, $\Gamma$-resolbablity and regular $\Gamma$-irresobability in ideal topological spaces.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper by using regular open sets and $\Gamma$-local functions, we introduce and investigate the notions of $\mathcal{I}_R$-dense sets, $\mathcal{I}_R$-hyperconnectedness, $\mathcal{I}^*_R$-hyperconnectedness, $\Gamma$-resolbablity and regular $\Gamma$-irresobability in ideal topological spaces.
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Key Findings & Data:In this paper by using regular open sets and $\Gamma$-local functions, we introduce and investigate the notions of $\mathcal{I}_R$-dense sets, $\mathcal{I}_R$-hyperconnectedness, $\mathcal{I}^*_R$-hyperconnectedness, $\Gamma$-resolbablity and regular $\Gamma$-irresobability in ideal topological spaces.
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Conclusion & Impact:In this paper by using regular open sets and $\Gamma$-local functions, we introduce and investigate the notions of $\mathcal{I}_R$-dense sets, $\mathcal{I}_R$-hyperconnectedness, $\mathcal{I}^*_R$-hyperconnectedness, $\Gamma$-resolbablity and regular $\Gamma$-irresobability in ideal topological spaces.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:ideal topological space · regular open set · $R$-hyperconnected

Abstract

In this paper by using regular open sets and $\Gamma$-local functions, we introduce and investigate the notions of $\mathcal{I}_R$-dense sets, $\mathcal{I}_R$-hyperconnectedness, $\mathcal{I}^*_R$-hyperconnectedness, $\Gamma$-resolbablity and regular $\Gamma$-irresobability in ideal topological spaces.

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Cite This Article

AL-OMARİ, A., NOİRİ, T. (2022). Regular $\Gamma$-irresolvable spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 51 Sayı: 1, 95–100. https://ajindex.com/articles/929228

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