Research Article
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Year 2018, Volume: 47 Issue: 1, 101 - 106, 01.02.2018
https://izlik.org/JA39GW62CE

Abstract

References

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

Some results on mean open, closed and clopen sets

Year 2018, Volume: 47 Issue: 1, 101 - 106, 01.02.2018
https://izlik.org/JA39GW62CE

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 some
properties of such sets. We observe that a mean clopen set is both mean open and mean closed but the converse is not true.

References

  • Mukharjee, A. On maximal and minimal clopen sets, An. Univ. Oradea Fasc. Mat. 23 (2), 127–130, 2016.
  • Mukharjee, A. On maximal, minimal open and closed sets, Commun. Korean Math. Soc. 30 (3), 277–282, 2015.
  • Mukharjee, A. and Bagchi, K.B. On mean open and closed sets, Kyungpook Math. J. 56 (4), 1259–1265, 2016.
  • 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.
  • Nakaoka, F. and Oda, N. Some applications of minimal open sets, Int. J. Math. Math. Sci. 27 (8), 471–476, 2001.
There are 6 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Ajoy Mukharjee This is me

Kallol Bhandhu Bagchi This is me

Publication Date February 1, 2018
IZ https://izlik.org/JA39GW62CE
Published in Issue Year 2018 Volume: 47 Issue: 1

Cite

APA Mukharjee, A., & Bagchi, K. B. (2018). Some results on mean open, closed and clopen sets. Hacettepe Journal of Mathematics and Statistics, 47(1), 101-106. https://izlik.org/JA39GW62CE
AMA 1.Mukharjee A, Bagchi KB. Some results on mean open, closed and clopen sets. Hacettepe Journal of Mathematics and Statistics. 2018;47(1):101-106. https://izlik.org/JA39GW62CE
Chicago Mukharjee, Ajoy, and Kallol Bhandhu Bagchi. 2018. “Some Results on Mean Open, Closed and Clopen Sets”. Hacettepe Journal of Mathematics and Statistics 47 (1): 101-6. https://izlik.org/JA39GW62CE.
EndNote Mukharjee A, Bagchi KB (February 1, 2018) Some results on mean open, closed and clopen sets. Hacettepe Journal of Mathematics and Statistics 47 1 101–106.
IEEE [1]A. Mukharjee and K. B. Bagchi, “Some results on mean open, closed and clopen sets”, Hacettepe Journal of Mathematics and Statistics, vol. 47, no. 1, pp. 101–106, Feb. 2018, [Online]. Available: https://izlik.org/JA39GW62CE
ISNAD Mukharjee, Ajoy - Bagchi, Kallol Bhandhu. “Some Results on Mean Open, Closed and Clopen Sets”. Hacettepe Journal of Mathematics and Statistics 47/1 (February 1, 2018): 101-106. https://izlik.org/JA39GW62CE.
JAMA 1.Mukharjee A, Bagchi KB. Some results on mean open, closed and clopen sets. Hacettepe Journal of Mathematics and Statistics. 2018;47:101–106.
MLA Mukharjee, Ajoy, and Kallol Bhandhu Bagchi. “Some Results on Mean Open, Closed and Clopen Sets”. Hacettepe Journal of Mathematics and Statistics, vol. 47, no. 1, Feb. 2018, pp. 101-6, https://izlik.org/JA39GW62CE.
Vancouver 1.Ajoy Mukharjee, Kallol Bhandhu Bagchi. Some results on mean open, closed and clopen sets. Hacettepe Journal of Mathematics and Statistics [Internet]. 2018 Feb. 1;47(1):101-6. Available from: https://izlik.org/JA39GW62CE