Regularity and normality in ideal bitopological spaces

Authors

DOI:

https://doi.org/10.22199/issn.0717-6279-2021-02-0026

Keywords:

Bitopological spaces, Ideal bitopological spaces, Separation in bitopological spaces, Separation in ideal bitopological spaces

Abstract

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.

Author Biography

Néstor Raúl Pachón Rubiano, Escuela Colombiana de Ingeniería Julio Garavito

Depto. de Matemáticas.

References

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Published

2021-03-04

How to Cite

[1]
N. R. Pachón Rubiano, “Regularity and normality in ideal bitopological spaces”, Proyecciones (Antofagasta, On line), vol. 40, no. 2, pp. 425-445, Mar. 2021.

Issue

Section

Artículos