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Dergiler / 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
Sayfa
101–106
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we obtain some more properties of mean open and closed sets.
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Temel Bulgular & Veri:We also introduce a notion of mean clopen sets and obtain someproperties of such sets.
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Sonuç & Katkı:We observe that a mean clopen set is both mean open and mean closed but the converse is not true.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (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.