Continuity via -open sets
Sanabria, Rosas and Carpintero [7] 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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Universidad de La Frontera. Departamento de Matemática y Estadística.
2015
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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 [7] 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 ⊂ 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 ∩ 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 |
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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 |
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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 [7] 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 ⊂ 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 ∩ 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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1714206791926022144 |