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Regularity and normality in ideal bitopological spaces

  • Pachón Rubiano, Néstor Raúl [1]
    1. [1] Escuela Colombiana de Ingeniería Julio Garavito
  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 40, Nº. 2, 2021, págs. 425-445
  • Idioma: inglés
  • DOI: 10.22199/issn.0717-6279-2021-02-0026
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  • Resumen
    • We introduce, and study, the regularity and normality in ideal bitopological spaces, absent subject in literature. Our definitions have the advantage of using only the open sets of the two underlying topologies. These new concepts represent generalizations of Kelly's concepts of pairwise regularity and pairwise normality. The extension of the T0, T1 and T2 axioms to these spaces is due to Caldas et al.

  • Referencias bibliográficas
    • D. Jancovic and T.R. Hamlett, “New topologies from old via ideals” , The American Mathematical Monthly, vol. 97, no. 4, pp. 295-310, Apr....
    • J.C. Kelly, “Bitopological spaces”, Proceedings of the London Mathematical Society, vol. s3-13, no. 1, pp. 71-89, 1963, doi: 10.1112/plms/S3-13.1.71
    • R. Newcomb, “Topologies which are compact modulo an ideal”, Ph.D. dissertation, University of California at Santa Barbara, 1967.
    • A. Mukharjee, “Some new bitopological notions”, Publications de l'Institut Mathematique, vol. 93, no 107, pp. 165-172, 2013, doi: 10.2298/PIM1307165M
    • N.R. Pachón Rubiano, “Between closed and Ig-closed sets”, European journal of pure and applied mathematics, vol. 11, no. 1, pp. 299-314, Jan....
    • N. R. Pachón Rubiano, “Some properties of ℐ-Hausdorff, ℐ-regular and ℐ- normal spaces”, Scientific studies and research, series Mathematics...
    • I.L. Reilly, “On bitopological separation properties”, Nanta mathematica, vol. 29, pp. 14-25, 1972.
    • R. Vaidyanathaswamy, “The localization theory in set-topology”, Proceedings of the Indian Academy of Sciences, vol. 20, pp. 51-61, 1945, doi:...

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