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2016, vol. 20, br. 1, str. 59-67
Asymmetric maximal and minimal open sets
(naslov ne postoji na srpskom)
aSt. Joseph's College Darjeeling West Bengal, Department of Mathematics, West Bengal, India
bUniversity of North Bengal Siliguri West Bengal, Department of Mathematics, India

e-adresaroychoudhuryarup@yahoo.co.in, ajoyjee@gmail.com, roychoudhuryarup@yahoo.co.in, manojkumarbose@yahoo.com
Ključne reči: (Pi, Pj)maximal open set; (Pi, Pj)minimal open set; pairwise maximal open set; pairwise minimal open set; disconnected bitopological space
Sažetak
(ne postoji na srpskom)
We introduce the notions of maximal and minimal open sets in bitopological spaces and obtain some properties of them. In contrary to maximal and minimal open sets in topological spaces, we observe that maximal and minimal open sets in bitopological spaces behave differently. The maximal and minimal open sets in a bitopological space under the operations of union and intersection respectively sometimes become slightly different types of maximal and minimal open sets in that bitopological space. We also obtain results concerning an asymmetric minimal open set on a subspace of a bitopological space.
Reference
al Ghour, S., Azaizeh, A. (2011) Minimal open sets in bitopological spaces. Questions Answers Gen. Topology, 29, 105-112
Benchalli, S.S., Ittanagi, B.M., Wali, R.S. (2011) On Pairwise Minimal Open Sets In Bitopological Spaces. Journal of Advanced Studies in Topology, 3(2): 54
Kelly, J.C. (1963) Bitopological spaces. Proceedings of the London Mathematical Society, 13, 71-89
Mukharjee, A. (2013) Some new bitopological notions. Publications de l'Institut Mathematique, vol. 93, br. 107, str. 165-172
Mukharjee, A., Bose, M.K. (2013) On Nearly Pairwise Compact Spaces. Kyungpook mathematical journal, 53(1): 125-133
Nakaoka, F., Oda, N. (2003) Some properties of maximal open sets. International Journal of Mathematics and Mathematical Sciences, 2003(21): 1331-1340
Nakaoka, F., Oda, N. (2001) Some applications of minimal open sets. International Journal of Mathematics and Mathematical Sciences, 27(8): 471-476
Pervin, W.J. (1967) Connectedness in Bitopological Spaces. Indagationes Mathematicae (Proceedings), 70: 369-372
 

O članku

jezik rada: engleski
vrsta rada: neklasifikovan
DOI: 10.5937/MatMor1601059M
objavljen u SCIndeksu: 31.03.2017.

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