On bonding of some bitopological notions 

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

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.48.1.108112

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 
108112

Volume 
48

Issue 
1

Year 
2017

Journal 
Matematychni Studii

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