Journals / European Journal of Pure and Applied Mathematics (elektronik) / 2009 / Cilt: 2 - Sayı: 3

On minimal $gamma$-open sets

Pages
388–351
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

As an application of a theory of minimal$gamma$-open sets, we obtain a sufficient condition for a$gamma$-locally finite space to be a pre-T2 space.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we introduce and discuss minimal$gamma$-open sets in topological spaces.
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Key Findings & Data:We establish some basic properties of minimal$gamma$-open sets and provide an example to illustrate that minimal $gamma$-open sets are independent of minimal open sets introduced and discussed in[3].
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Conclusion & Impact:As an application of a theory of minimal$gamma$-open sets, we obtain a sufficient condition for a$gamma$-locally finite space to be a pre-T2 space.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we introduce and discuss minimal$gamma$-open sets in topological spaces. We establish some basic properties of minimal$gamma$-open sets and provide an example to illustrate that minimal $gamma$-open sets are independent of minimal open sets introduced and discussed in[3]. We obtain some properties of pre$gamma$-open sets using properties of minimal$gamma$-open sets. As an application of a theory of minimal$gamma$-open sets, we obtain a sufficient condition for a$gamma$-locally finite space to be a pre-T2 space.

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Cite This Article

AHMAD, B., HUSSAİN, S. (2022). On minimal $gamma$-open sets. European Journal of Pure and Applied Mathematics (elektronik), Cilt: 2 - Sayı: 3, 388–351. https://ajindex.com/articles/511396

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References (1)

  1. B. Ahmad and S. Hussain: Properties of $gamma$-Operations on topological spaces, Aligarh Bull. Ma [2] S. Kasahara: Operation-compact spaces, Math. Japon., 24(1979), 97-105. [3] F. Nakaoka and N. Oda: Some applications of minimal open sets, Internat. Jr. Math. Math. Sci., 27(2001), no. 8, 471-476. [4] H. Ogata: Operations on topological spaces and associated topogy, Math. Japon., 36(1)(1991), 175-184.th. 22(1) (2003), 45-51.