# On bonding of some bitopological notions

Author
Department of Mathematics, St. Joseph’s College, Darjeeling, W. Bengal, India; Department of Mathematics, Malda College, Malda, W. Bengal, India
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.
Keywords
pairwise regular; pairwise normal; strongly pairwise regular; strongly pairwise normal
DOI
doi:10.15330/ms.48.1.108-112
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
Volume
48
Issue
1
Year
2017
Journal
Matematychni Studii
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