Regularity and normality in ideal bitopological spaces

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 regula...

Full description

Autores:
Pachon Rubiano, Néstor Raúl
Tipo de recurso:
Article of investigation
Fecha de publicación:
2021
Institución:
Escuela Colombiana de Ingeniería Julio Garavito
Repositorio:
Repositorio Institucional ECI
Idioma:
eng
OAI Identifier:
oai:repositorio.escuelaing.edu.co:001/1387
Acceso en línea:
https://repositorio.escuelaing.edu.co/handle/001/1387
https://doi.org/10.22199/issn.0717-6279-2021-02-0026
Palabra clave:
Bitopological spaces
Ideal bitopological spaces
Separation in bitopological spaces
Separation in ideal bitopological spaces
Rights
openAccess
License
https://creativecommons.org/licenses/by/4.0/
Description
Summary: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 T 0 , T 1 and T 2 axioms to these spaces is due to Caldas et al.