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Pairwise Semiregular Properties on Generalized Pairwise Regular-LindelÄof Spaces

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Abstract (2. Language): 
Let (X; ¿1; ¿2) be a bitopological space and ³ X; ¿ s (1;2); ¿ s (2;1) ´ its pairwise semiregularization. Then a bitopological property P is called pair- wise semiregular provided ³ that (X; ¿1; ¿2) has the property P if and only if X; ¿ s (1;2); ¿ s (2;1) ´ has the same property. In this paper we study pairwise semireg- ular properties of a bitopological space. We prove that pairwise almost regular- LindelÄofness and pairwise weakly regular-LindelÄofness are pairwise semiregular properties.
127-136

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REFERENCES

References: 

[1] B. P. Dvalishvili, Bitopological Spaces: Theory, relations with generalized algebraic structures, and
applications, North-Holland Math. Stud. 199, Elsevier, 2005.
[2] A. J. Fawakhreh and A. K³l³»cman, Semiregular properties and generalized LindelÄof spaces, Mat.
Vesnik 56 (2004), 77-80.
[3] Ali A. Fora and Hasan Z. Hdeib, On pairwise LindelÄof spaces, Rev. Colombiana Mat. 17 (1983) no.
1-2, 37-57.
[4] F. H. Khedr and A. M. Alshibani, On pairwise super continuous mappings in bitopological spaces,
Int. J. Math. & Math. Sci., 14 (4) (1991), 715-722.
[5] A. K³l³»cman and Z. Salleh, On pairwise LindelÄof bitopological spaces, Topology Appl. 154 (8) (2007),
1600-1607.
[6] A. K³l³»cman and Z. Salleh, Mappings and pairwise continuity on pairwise LindelÄof bitopological
spaces, Albanian J. Math., 1(2) (2007), 115-120.
[7] A. K³l³»cman and Z. Salleh, Pairwise almost LindelÄof bitopological spaces II, Malaysian Journal of
Mathematical Sciences, 1(2) (2007), 227-238.
[8] A. K³l³»cman and Z. Salleh, Pairwise weakly regular-LindelÄof spaces, Abstr. Appl. Anal., Volume 2008,
Article ID 184243, 13 pages, doi:10.1155/2008/184243.
[9] A. K³l³»cman and Z. Salleh, On the pairwise weakly LindelÄof bitopological spaces, arXiv:0901.4405v1
[math.GN], 28 Jan 2009, 14 pages.
[10] A. K³l³»cman and Z. Salleh, Pairwise almost regular-LindelÄof spaces, Sci. Math. Jpn. 70 (2009),
285-298.
[11] M. Mr·sevi¶c, I. L. Reilly and M. K. Vamanamurthy, On semi-regularization topologies, J. Austral.
Math. Soc. (Ser. A) 38 (1985), 40-54.
[12] M. Mr·sevi¶c, I. L. Reilly and M. K. Vamanamurthy, On nearly LindelÄof spaces, Glasnik Math., 21
(41) (1986), 407-414.
[13] Z. Salleh and A. K³l³»cman, Pairwise semiregular properties and generalized pairwise LindelÄof spaces,
Proceedings of the 3rd IMT-GT Regional Conference on Mathematics, Statistics and Their Ap-
plications, Universiti Sains Malaysia, The Gurney Hotel, Penang, Dec. 4-5, 2007, 106-113. ISBN:
978-983-3986-25-5.
[14] Z. Salleh, Generalizations of LindelÄof properties in bitopological spaces, PhD Thesis, Universiti Putra
Malaysia (2008).
[15] Z. Salleh and A. K³l³»cman, Mappings on generalizations of pairwise regular-LindelÄof spaces, (Sub-
mitted).
[16] A. R. Singal and S. P. Arya, On pairwise almost regular spaces, Glasnik Math., 6(26) (1971), 335-343.
[17] M. K. Singal and A. R. Singal, Some more separation axioms in bitopological spaces, Ann. Son. Sci.
Bruxelles., 84 (1970), 207-230.

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