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...

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Detalhes bibliográficos
Autor: Pachon Rubiano, Néstor Raúl
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:Colombia
Recursos:Escuela Colombiana de Ingeniería Julio Garavito
Repositorio:Repositorio Institucional ECI
Idioma:inglés
OAI Identifier:oai:repositorio.escuelaing.edu.co:001/1387
Acesso em linha:https://repositorio.escuelaing.edu.co/handle/001/1387
https://doi.org/10.22199/issn.0717-6279-2021-02-0026
Access Level:acceso abierto
Palavra-chave:Bitopological spaces
Ideal bitopological spaces
Separation in bitopological spaces
Separation in ideal bitopological spaces
Descrição
Resumo: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.