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Journals / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 6

On generalized open sets

Sabir HUSSAİN
Pages
1438–1446
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

Examples and counter examples are also provided for the existence of defined concepts.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We introduce and explore generalized open sets namely $\gamma$-pre-open and $\gamma$-b-open sets in topological spaces.
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Key Findings & Data:We also explore and investigate the properties and characterizations of $\gamma$-b-continuous function, $\gamma$-b-irresolute function and $\gamma$-b-open(closed)functions.
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Conclusion & Impact:Examples and counter examples are also provided for the existence of defined concepts.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:$\gamma$-open(closed) · $\gamma$-interior(closure) · $\gamma$-semi-open(closed)

Abstract

We introduce and explore generalized open sets namely $\gamma$-pre-open and $\gamma$-b-open sets in topological spaces. We also explore and investigate the properties and characterizations of $\gamma$-b-continuous function, $\gamma$-b-irresolute function and $\gamma$-b-open(closed)functions. Examples and counter examples are also provided for the existence of defined concepts.

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Cite This Article

HUSSAİN, S. (2022). On generalized open sets. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 6, 1438–1446. https://ajindex.com/articles/529894

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