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Selection principles and covering properties in bitopological spaces

  • Khan, Moiz ud Din [1] ; Sabah, Amani [1]
    1. [1] COMSATS Institute of Information Technology

      COMSATS Institute of Information Technology

      Pakistán

  • Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 21, Nº. 1, 2020, págs. 159-169
  • Idioma: inglés
  • DOI: 10.4995/agt.2020.12238
  • Enlaces
  • Resumen
    • Our main focus in this paper is to introduce and study various selection principles in bitopological spaces. In particular, Menger type, and Hurewicz type covering properties like: Almost p-Menger, star p-Menger, strongly star p-Menger, weakly p-Hurewicz, almost p-Hurewicz, star p-Hurewicz and strongly star p-Hurewicz spaces are defined and corresponding properties are investigated. Relations between some of these spaces are established.

  • Referencias bibliográficas
    • O. T. Alas, L. R. Junqueira and R. G. Wilson, Countability and star covering properties, Topology Appl. 158 (2011), 620-626. https://doi.org/10.1016/j.topol.2010.12.012
    • B. P. Dvalishvili, Bitopological spaces: theory, relations with generalized algebraic structures, and applications, North-Holand Math. Stud....
    • W. Hurewicz, Über die verallgemeinerung des borelschen theorems, Math. Z. 24 (1925), 401-425. https://doi.org/10.1007/BF01216792
    • J. C. Kelly Bitopological spaces, Proc. London Math. Soc. 13, no. 3 (1963), 71-89. https://doi.org/10.1112/plms/s3-13.1.71
    • D. Kocev, Almost Menger and related spaces, Mat. Vesnik 61 (2009), 173-180.
    • Lj. D. R. Kocinac , Star-Menger and related spaces, Publ. Math. Debrecen 55 (1999), 421-431.
    • Lj. D. R. Kocinac, Star-Menger and related spaces II, Filomat 13 (1999), 129-140.
    • Lj. D. R. Kocinac and S. Ozcag, Versions of separability in bitopological spaces, Topology Appl. 158 (2011), 1471-1477. https://doi.org/10.1016/j.topol.2011.05.019
    • Lj. D. R. Kocinac and S. Ozcag, Bitopological spaces and selection principles, Proceedings ICTA2011, Cambridge Scientific Publishers, (2012),...
    • M. V. Matveev, A survey on star covering properties, Topology Atlas, preprint No. 330 (1998).
    • S. Ozcag and A. E. Eysen, Almost Menger property in bitopological spaces, Ukranian Math. J. 68, no. 6 (2016), 950-958. https://doi.org/10.1007/s11253-016-1268-4
    • F. Rothberger, Eine Ver schörfung der Eigenschaftc, Fundamenta Mathematicae 30 (1938), 50-55. https://doi.org/10.4064/fm-30-1-50-55

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