On bonding of some bitopological notions |
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Author |
ajoyjee@gmail.com, roychoudhuryarup@yahoo.co.in
Department of Mathematics, St. Joseph’s College, Darjeeling, W. Bengal, India; Department of Mathematics, Malda College, Malda, W. Bengal, India
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Abstract |
In this paper, we study two strong forms of separations axioms on bitopological spaces and we observe that the results on such axioms are odd compared to prevailing results of bitopological spaces or topological spaces, e.g. we see that $Y\subset X$ need not be $(\mathscr{P}_{i})$closed for any $i\in\{1,2\}$ to be the relative bitopological space $(Y,\mathscr{P}_{1Y},\mathscr{P}_{2Y})$ strongly pairwise normal under some conditions including the bitopological space $(X,\mathscr{P}_{1},\mathscr{P}_{2})$ to be strongly pairwise normal.
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Keywords |
pairwise regular; pairwise normal; strongly pairwise regular; strongly pairwise normal
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DOI |
doi:10.15330/ms.48.1.108-112
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Reference |
1. M.K. Bose, A. Mukharjee, On bitopological full normality, Mat. Vesnik, 62 (2010), 11–18.
2. J.C. Kelly, Bitopological spaces, Proc. Lond. Math. Soc., 13 (1963), ¹3, 71–89. 3. A. Mukharjee, Some new bitopological notions, Publ. Inst. Math. (Beograd) (N. S.), 93 (2013), 165–172. |
Pages |
108-112
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Volume |
48
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Issue |
1
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Year |
2017
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Journal |
Matematychni Studii
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