Some results on mean open, closed and clopen sets
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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- 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.