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
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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.