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Journals / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 1

Some results on mean open, closed and clopen sets

Ajoy MUKHARJEE
Kallol Bhandhu BAGCHİ
Pages
101–106
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

We observe that a mean clopen set is both mean open and mean closed but the converse is not true.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we obtain some more properties of mean open and closed sets.
📊
Key Findings & Data:We also introduce a notion of mean clopen sets and obtain someproperties of such sets.
💡
Conclusion & Impact:We observe that a mean clopen set is both mean open and mean closed but the converse is not true.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Maximal open set · Minimal open set · Mean open set

Abstract

In this paper, we obtain some more properties of mean open and closed sets. We also introduce a notion of mean clopen sets and obtain someproperties of such sets. We observe that a mean clopen set is both mean open and mean closed but the converse is not true.

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Cite This Article

MUKHARJEE, A., BAGCHİ, K. B. (2022). Some results on mean open, closed and clopen sets. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 1, 101–106. https://ajindex.com/articles/529838

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References (5)

  1. Mukharjee, A. On maximal and minimal clopen sets, An. Univ. Oradea Fasc. Mat. 23 (2), 127–130, 2016.
  2. Mukharjee, A. On maximal, minimal open and closed sets, Commun. Korean Math. Soc. 30 (3), 277–282, 2015.
  3. Mukharjee, A. and Bagchi, K.B. On mean open and closed sets, Kyungpook Math. J. 56 (4), 1259–1265, 2016.
  4. Nakaoka, F. and Oda, N. Minimal closed sets and maximal closed sets, Int. J. Math. Math. Sci. 2006, Article ID 18647, 8 pages. Nakaoka, F. and Oda, N. Some properties of maximal open sets, Int. J. Math. Math. Sci. (21), 1331–1340, 2003.
  5. Nakaoka, F. and Oda, N. Some applications of minimal open sets, Int. J. Math. Math. Sci. 27 (8), 471–476, 2001.