Continuity via -open sets

Sanabria, Rosas and Carpintero &#091;7&#093; introduced the notions of <img border=0 width=16 height=19 src="http:/fbpe/img/cubo/v17n1/art06-2.jpg">-sets and <img border=0 width=16 height=19 src="http:/fbpe/img/cubo/v17n1/art06-2.jpg">-closed sets using ideals...

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Autores principales: Sanabria,José, Acosta,Edumer, Rosas,Ennis, Carpintero,Carlos
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2015
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000100006
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spelling oai:scielo:S0719-064620150001000062018-10-08Continuity via -open setsSanabria,JoséAcosta,EdumerRosas,EnnisCarpintero,Carlos Local function <img border=0 width=16 height=19 src="http:/fbpe/img/cubo/v17n1/art06-2.jpg">-open sets <img border=0 width=16 height=19 src="http:/fbpe/img/cubo/v17n1/art06-2.jpg">-irresolute functions Sanabria, Rosas and Carpintero &#091;7&#093; introduced the notions of <img border=0 width=16 height=19 src="http:/fbpe/img/cubo/v17n1/art06-2.jpg">-sets and <img border=0 width=16 height=19 src="http:/fbpe/img/cubo/v17n1/art06-2.jpg">-closed sets using ideals on topological spaces. Given an ideal I on a topological space ( X , <img src="http:/fbpe/img/cubo/v17n1/art06-3.jpg" alt="" width="12" height="12" />), a subsetA &sub; X is said to be <img border=0 width=16 height=19 src="http:/fbpe/img/cubo/v17n1/art06-2.jpg">-closed if A = U &cap; F where U is a <img border=0 width=16 height=19 src="http:/fbpe/img/cubo/v17n1/art06-2.jpg">-set and F is a <img border=0 width=12 height=12 src="http:/fbpe/img/cubo/v17n1/art06-3.jpg">*-closed set. In this work we use sets that are complements of <img border=0 width=16 height=19 src="http:/fbpe/img/cubo/v17n1/art06-2.jpg">-closed sets, which are called <img border=0 width=16 height=19 src="http:/fbpe/img/cubo/v17n1/art06-2.jpg">-open, to characterize new variants of continuity namely <img border=0 width=16 height=19 src="http:/fbpe/img/cubo/v17n1/art06-2.jpg">-continuous, quasi-<img border=0 width=16 height=19 src="http:/fbpe/img/cubo/v17n1/art06-2.jpg"> -continuous y <img border=0 width=16 height=19 src="http:/fbpe/img/cubo/v17n1/art06-2.jpg">-irresolute functions.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.17 n.1 20152015-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000100006en10.4067/S0719-06462015000100006
institution Scielo Chile
collection Scielo Chile
language English
topic Local function
<img border=0 width=16 height=19 src="http:/fbpe/img/cubo/v17n1/art06-2.jpg">-open sets
<img border=0 width=16 height=19 src="http:/fbpe/img/cubo/v17n1/art06-2.jpg">-irresolute functions
spellingShingle Local function
<img border=0 width=16 height=19 src="http:/fbpe/img/cubo/v17n1/art06-2.jpg">-open sets
<img border=0 width=16 height=19 src="http:/fbpe/img/cubo/v17n1/art06-2.jpg">-irresolute functions
Sanabria,José
Acosta,Edumer
Rosas,Ennis
Carpintero,Carlos
Continuity via -open sets
description Sanabria, Rosas and Carpintero &#091;7&#093; introduced the notions of <img border=0 width=16 height=19 src="http:/fbpe/img/cubo/v17n1/art06-2.jpg">-sets and <img border=0 width=16 height=19 src="http:/fbpe/img/cubo/v17n1/art06-2.jpg">-closed sets using ideals on topological spaces. Given an ideal I on a topological space ( X , <img src="http:/fbpe/img/cubo/v17n1/art06-3.jpg" alt="" width="12" height="12" />), a subsetA &sub; X is said to be <img border=0 width=16 height=19 src="http:/fbpe/img/cubo/v17n1/art06-2.jpg">-closed if A = U &cap; F where U is a <img border=0 width=16 height=19 src="http:/fbpe/img/cubo/v17n1/art06-2.jpg">-set and F is a <img border=0 width=12 height=12 src="http:/fbpe/img/cubo/v17n1/art06-3.jpg">*-closed set. In this work we use sets that are complements of <img border=0 width=16 height=19 src="http:/fbpe/img/cubo/v17n1/art06-2.jpg">-closed sets, which are called <img border=0 width=16 height=19 src="http:/fbpe/img/cubo/v17n1/art06-2.jpg">-open, to characterize new variants of continuity namely <img border=0 width=16 height=19 src="http:/fbpe/img/cubo/v17n1/art06-2.jpg">-continuous, quasi-<img border=0 width=16 height=19 src="http:/fbpe/img/cubo/v17n1/art06-2.jpg"> -continuous y <img border=0 width=16 height=19 src="http:/fbpe/img/cubo/v17n1/art06-2.jpg">-irresolute functions.
author Sanabria,José
Acosta,Edumer
Rosas,Ennis
Carpintero,Carlos
author_facet Sanabria,José
Acosta,Edumer
Rosas,Ennis
Carpintero,Carlos
author_sort Sanabria,José
title Continuity via -open sets
title_short Continuity via -open sets
title_full Continuity via -open sets
title_fullStr Continuity via -open sets
title_full_unstemmed Continuity via -open sets
title_sort continuity via -open sets
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2015
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000100006
work_keys_str_mv AT sanabriajose continuityviaopensets
AT acostaedumer continuityviaopensets
AT rosasennis continuityviaopensets
AT carpinterocarlos continuityviaopensets
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