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Several pairwise concepts for bitopological spaces (BTS) have been studied by many researchers. In this paper we introduce new pairwise separation axioms p'-Ti (I = 0, 1, 2, 3, 4) and p'-Ri (I = 0, 1) in bitopological spaces, then we study their properties and their relations with the standard separation axioms in BTS.
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31-45
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- Department of Mathematics, Tripoli University, Tripoli, Libya
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- Department of Mathematics, Azzaytuna University, Tarhuna, Libya
References
- [1] Kelly. J. C: Bitopological Spaces. Proc. London Math. Soc 3 (13) (1963) 71-89.
- [2] Dvalishvili. B. P: Bitopological Spaces. Theory relations with generalized algebraic structures, and application, Elsevier B.V (2005) CA 92101-4495.
- [3] Tallafha Abdallah, Al-Bsoul Adnan and Fora Ali, Countable Dense Homogeneous Bitopological Spaces. TÜBİTAK, Tr. J. of Mathematics 23 (1999) 233-242.
- [4] A. A. Ivanov, Bitopological Spaces. Journal of Mathematical Sciences 98 (5) (2000) 509-616.
- [5] A. A. Ivanov, Bitopological Spaces. Journal of Mathematical Sciences 26 (1) (1984)1622-1636.
- [6] A. A. Ivanov, Bibliography on Bitopological Spaces 2. Journal of Mathematical Sciences 81 (2) (1996) 2497-2505.
- [7] A. A. Ivanov, Bibliography on Bitopological Spaces 3. Journal of Mathematical Sciences 91 (6) (1998) 3365-3369
- [8] C. W. Patty, Bitopological Spaces. Duke Math. J. 34 (1967) 387-392.
- [9] Khedr F. H, Operation on Bitopologies. Delta J. Sci 8 (1) (1984) 309-320.
- [10] Murdeshwar. M. G and Naimpally. S. A, R1-Topological Spaces. Canad. Math. Bull 9 (1966) 521-523.
- [11] Ivan. L. Reilly, On Essentially Pairwise Hausdorf Spaces. Rendiconti Del Circdo Math. Ann. Series II (25) (1976) 47-52.
- [12] Misra. D. N and Dube. K. K, Pairwise R0 Space. Ann. De. La. Soc. De. Bruxelles, T-87 (1) (1973) 3-15
- [13] J. Swart, Total Disconnectedness in Bitopological Spaces and Product Bitopological Spaces. Indag. Math 33 (1971) 135-145.
- [14] Reilly. I. L, Pairwise Lindelöf Bitopological Spaces. Kyungpook Mathematica. J. 13 (1973) 1-4.
- [15] I. E. Cooke and I. L. Reilly, On Bitopological Compactness. J. London Math Soc. 8 (1975) 518-522.
- [16] Y. W. Kim, Pairwise Compactness. Publ. Math 15 (1968) 87-90.
- [17] Nandi. J. N, Nearly Compact Bitopological Spaces. Bull Calcute Math. Soc. 85 (1993) 337-344
- [18] Abd El. Monsef. M. E, Kozae A. M, Taher B. M, Compactifiation in Bitopological Spaces. Arab J. for Sci. Engin 22 (1A) (1997) 99-105.
- [19] W. J. Pervin, Connectedness in Bitopological Spaces. Indag. Math. 29 (1967) 369-372.
- [20] Thivagar. M. Lellis and Ravi. O, On Stronger Forms of (1,2) Quotient Mappings in Bitopological Spaces. Int. J. of Mathematics, Game theory and Algebra 14 (6) (2004) 481-492.
- [21] I. L. Reilly, On Bitopological Separation Axioms. Nanta Mathematica, 5 (1972) 14-25.
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bwmeta1.element.psjd-747d6185-5b1c-4cc7-8b49-2a40ab07fbf6