Minimal open sets on generalized topological space

Abstract: We introduce the notion of minimal open sets in a generalized topological space (X, μ). We investigate some of their fundamental properties and proved that any subset of a minimal open set on a GTS (X, μ) is a μ-preopen set.

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Autores principales: Carpintero,Carlos, Rosas,Ennis, Salas-Brown,Margot, Sanabria,José
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2017
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000400739
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spelling oai:scielo:S0716-091720170004007392018-01-08Minimal open sets on generalized topological spaceCarpintero,CarlosRosas,EnnisSalas-Brown,MargotSanabria,José Generalized topology minimal μ-open sets μ-pre-Hausdorff space Abstract: We introduce the notion of minimal open sets in a generalized topological space (X, μ). We investigate some of their fundamental properties and proved that any subset of a minimal open set on a GTS (X, μ) is a μ-preopen set.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.36 n.4 20172017-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000400739en10.4067/S0716-09172017000400739
institution Scielo Chile
collection Scielo Chile
language English
topic Generalized topology
minimal μ-open sets
μ-pre-Hausdorff space
spellingShingle Generalized topology
minimal μ-open sets
μ-pre-Hausdorff space
Carpintero,Carlos
Rosas,Ennis
Salas-Brown,Margot
Sanabria,José
Minimal open sets on generalized topological space
description Abstract: We introduce the notion of minimal open sets in a generalized topological space (X, μ). We investigate some of their fundamental properties and proved that any subset of a minimal open set on a GTS (X, μ) is a μ-preopen set.
author Carpintero,Carlos
Rosas,Ennis
Salas-Brown,Margot
Sanabria,José
author_facet Carpintero,Carlos
Rosas,Ennis
Salas-Brown,Margot
Sanabria,José
author_sort Carpintero,Carlos
title Minimal open sets on generalized topological space
title_short Minimal open sets on generalized topological space
title_full Minimal open sets on generalized topological space
title_fullStr Minimal open sets on generalized topological space
title_full_unstemmed Minimal open sets on generalized topological space
title_sort minimal open sets on generalized topological space
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2017
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000400739
work_keys_str_mv AT carpinterocarlos minimalopensetsongeneralizedtopologicalspace
AT rosasennis minimalopensetsongeneralizedtopologicalspace
AT salasbrownmargot minimalopensetsongeneralizedtopologicalspace
AT sanabriajose minimalopensetsongeneralizedtopologicalspace
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