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A Note On Pairwise Continuous Mappings and Bitopological Spaces

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2009

Key Words:

Author Name

AMS Codes:

Abstract (2. Language): 
We shall continue the study of bitopological separation axioms that was begun by Kelly and obtained some results. Furthermore, we introduce a concept of pairwise Lindelöf bitopological spaces, namely, p2-Lindelöf spaces and their properties are established. We also show that a p2-Lindelöf space is not a hereditary property. Finally, we show that a p2-Lindelöf space is a p2-topological property.
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  • 3
325-337
  • English

REFERENCES

References: 

[1] J. C. Kelly, Bitopological Spaces, Proc. London Math. Soc., (3) 13 (1963), 71-89.
[2] J. L. Kelly, General Topology, Springer-Verlag, New York, 1955.
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Appl., 154 (8) (2007), 1600-1607.
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Spaces, Albanian J. Math., 1(2) (2007), 115–120.
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Malaysian Mathematical Sciences, 1(2)(2007), 227–238.
[6] A. Kılıçman and Z. Salleh, Pairwise Weakly Lindelöf Bitopological Spaces, Abstract and
Applied Analysis, Volume 2008, Article ID 184243, 13 pages doi:10.1155/2008/184243.
[7] W. J. Pervin, Foundations of General Topology, Academic Press, Inc., London, 1964.
[8] A. Tallafha, A. Al-Bsoul and A. Fora, Countable dense homogeneous bitopological spaces,
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TÜB˙ITAK.
[9] S. Willard, General Topology, Addison-Wesley, Canada, 1970.

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