Research Article

Some results on mean open, closed and clopen sets

Volume: 47 Number: 1 February 1, 2018
  • Ajoy Mukharjee *
  • Kallol Bhandhu Bagchi
EN

Some results on mean open, closed and clopen sets

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.

Keywords

References

  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.
  5. Nakaoka, F. and Oda, N. Some properties of maximal open sets, Int. J. Math. Math. Sci. (21), 1331–1340, 2003.
  6. Nakaoka, F. and Oda, N. Some applications of minimal open sets, Int. J. Math. Math. Sci. 27 (8), 471–476, 2001.

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

Submission Date

January 11, 2017

Acceptance Date

February 28, 2017

Published in Issue

Year 2018 Volume: 47 Number: 1

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