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Pairwise Weakly Regular‐Lindelöf Spaces

Author

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  • Adem Kılıçman
  • Zabidin Salleh

Abstract

We will introduce and study the pairwise weakly regular‐Lindelöf bitopological spaces and obtain some results. Furthermore, we study the pairwise weakly regular‐Lindelöf subspaces and subsets, and investigate some of their characterizations. We also show that a pairwise weakly regular‐Lindelöf property is not a hereditary property. Some counterexamples will be considered in order to establish some of their relations.

Suggested Citation

  • Adem Kılıçman & Zabidin Salleh, 2008. "Pairwise Weakly Regular‐Lindelöf Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2008(1).
    • Handle: RePEc:wly:jnlaaa:v:2008:y:2008:i:1:n:184243
    DOI: 10.1155/2008/184243
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    References listed on IDEAS

    as
    1. Filippo Cammaroto & Grazia Santoro, 1996. "Some counterexamples and properties on generalizations of Lindelöf spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 19, pages 1-10, January.
    2. F. H. Khedr & A. M. Al-Shibani, 1991. "On pairwise super continuous mappings in bitopological spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 14, pages 1-8, January.
    3. Anwar Jabor Fawakhreh & Adem Kiliçman, 2001. "On generalizations of regular-Lindelöf spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 27, pages 1-5, January.
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