Regularity and normality 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 pairw...

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Autor principal: Pachón Rubiano,Néstor Raúl
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2021
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000200425
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spelling oai:scielo:S0716-091720210002004252021-04-03Regularity and normality in ideal bitopological spacesPachón Rubiano,Néstor Raúl 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 T 0 , T 1 and T 2 axioms to these spaces is due to Caldas et al.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.40 n.2 20212021-04-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000200425en10.22199/issn.0717-6279-2021-02-0026
institution Scielo Chile
collection Scielo Chile
language English
topic Bitopological spaces
Ideal bitopological spaces
Separation in bitopological spaces
Separation in ideal bitopological spaces
spellingShingle Bitopological spaces
Ideal bitopological spaces
Separation in bitopological spaces
Separation in ideal bitopological spaces
Pachón Rubiano,Néstor Raúl
Regularity and normality in ideal bitopological spaces
description 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 T 0 , T 1 and T 2 axioms to these spaces is due to Caldas et al.
author Pachón Rubiano,Néstor Raúl
author_facet Pachón Rubiano,Néstor Raúl
author_sort Pachón Rubiano,Néstor Raúl
title Regularity and normality in ideal bitopological spaces
title_short Regularity and normality in ideal bitopological spaces
title_full Regularity and normality in ideal bitopological spaces
title_fullStr Regularity and normality in ideal bitopological spaces
title_full_unstemmed Regularity and normality in ideal bitopological spaces
title_sort regularity and normality in ideal bitopological spaces
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2021
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000200425
work_keys_str_mv AT pachonrubianonestorraul regularityandnormalityinidealbitopologicalspaces
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