On somewhat near continuity and some applications

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We give more properties and applications to the class of somewhat nearly continuous functions introduced by Piotrowski. Among the applications, we show that the Baire property is preserved under somewhat nearly continuous quasiopen injection images and Baire spaces are preserved under somewhat nearl...

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Detalles Bibliográficos
Autor: Ameen, Zanyar
Formato: artículo
Fecha de Publicación:2021
Institución:Universidad Nacional de Trujillo
Repositorio:Revistas - Universidad Nacional de Trujillo
Lenguaje:inglés
OAI Identifier:oai:ojs.revistas.unitru.edu.pe:article/3555
Enlace del recurso:https://revistas.unitru.edu.pe/index.php/SSMM/article/view/3555
Nivel de acceso:acceso abierto
Materia:Quasicontinuous
almost quasicontinuous
semicontinuous
beta-continuous
somewhat nearly continuous
Baire space
Cuasicontinuo
casi cuasicontinuo
semicontinuo
beta-continuo
algo casi continuo
espacio Baire
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network_name_str Revistas - Universidad Nacional de Trujillo
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spelling On somewhat near continuity and some applicationsSobre la continuidad algo cercana y algunas aplicacionesAmeen, ZanyarQuasicontinuous almost quasicontinuoussemicontinuousbeta-continuoussomewhat nearly continuousBaire spaceCuasicontinuocasi cuasicontinuosemicontinuobeta-continuoalgo casi continuoespacio BaireWe give more properties and applications to the class of somewhat nearly continuous functions introduced by Piotrowski. Among the applications, we show that the Baire property is preserved under somewhat nearly continuous quasiopen injection images and Baire spaces are preserved under somewhat nearly continuous quasiopen countable fiber complete preimages. The later statement generalizes the results given by Noll, and Mirmostafaee and Piotrowski.Damos más propiedades y aplicaciones a la clase de funciones casi continuas introducidas por Piotrowski. Entre las aplicaciones, mostramos que la propiedad de Baire se conserva bajo imágenes de inyección casi abiertas casi continuas y los espacios de Baire se conservan bajo preimágenes completas de fibra contables casi continuas casi continuas. La última declaración generaliza los resultados dados por Noll y Mirmostafaee y Piotrowski.National University of Trujillo - Academic Department of Mathematics2021-12-27info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/3555Selecciones Matemáticas; Vol. 8 No. 02 (2021): August - December; 360-369Selecciones Matemáticas; Vol. 8 Núm. 02 (2021): Agosto - Diciembre; 360-369Selecciones Matemáticas; v. 8 n. 02 (2021): Agosto - Diciembre; 360-3692411-1783reponame:Revistas - Universidad Nacional de Trujilloinstname:Universidad Nacional de Trujilloinstacron:UNITRUenghttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/3555/4652Derechos de autor 2021 Selecciones Matemáticashttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessoai:ojs.revistas.unitru.edu.pe:article/35552022-10-21T18:47:40Z
dc.title.none.fl_str_mv On somewhat near continuity and some applications
Sobre la continuidad algo cercana y algunas aplicaciones
title On somewhat near continuity and some applications
spellingShingle On somewhat near continuity and some applications
Ameen, Zanyar
Quasicontinuous
almost quasicontinuous
semicontinuous
beta-continuous
somewhat nearly continuous
Baire space
Cuasicontinuo
casi cuasicontinuo
semicontinuo
beta-continuo
algo casi continuo
espacio Baire
title_short On somewhat near continuity and some applications
title_full On somewhat near continuity and some applications
title_fullStr On somewhat near continuity and some applications
title_full_unstemmed On somewhat near continuity and some applications
title_sort On somewhat near continuity and some applications
dc.creator.none.fl_str_mv Ameen, Zanyar
author Ameen, Zanyar
author_facet Ameen, Zanyar
author_role author
dc.subject.none.fl_str_mv Quasicontinuous
almost quasicontinuous
semicontinuous
beta-continuous
somewhat nearly continuous
Baire space
Cuasicontinuo
casi cuasicontinuo
semicontinuo
beta-continuo
algo casi continuo
espacio Baire
topic Quasicontinuous
almost quasicontinuous
semicontinuous
beta-continuous
somewhat nearly continuous
Baire space
Cuasicontinuo
casi cuasicontinuo
semicontinuo
beta-continuo
algo casi continuo
espacio Baire
description We give more properties and applications to the class of somewhat nearly continuous functions introduced by Piotrowski. Among the applications, we show that the Baire property is preserved under somewhat nearly continuous quasiopen injection images and Baire spaces are preserved under somewhat nearly continuous quasiopen countable fiber complete preimages. The later statement generalizes the results given by Noll, and Mirmostafaee and Piotrowski.
publishDate 2021
dc.date.none.fl_str_mv 2021-12-27
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://revistas.unitru.edu.pe/index.php/SSMM/article/view/3555
url https://revistas.unitru.edu.pe/index.php/SSMM/article/view/3555
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://revistas.unitru.edu.pe/index.php/SSMM/article/view/3555/4652
dc.rights.none.fl_str_mv Derechos de autor 2021 Selecciones Matemáticas
https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Derechos de autor 2021 Selecciones Matemáticas
https://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv National University of Trujillo - Academic Department of Mathematics
publisher.none.fl_str_mv National University of Trujillo - Academic Department of Mathematics
dc.source.none.fl_str_mv Selecciones Matemáticas; Vol. 8 No. 02 (2021): August - December; 360-369
Selecciones Matemáticas; Vol. 8 Núm. 02 (2021): Agosto - Diciembre; 360-369
Selecciones Matemáticas; v. 8 n. 02 (2021): Agosto - Diciembre; 360-369
2411-1783
reponame:Revistas - Universidad Nacional de Trujillo
instname:Universidad Nacional de Trujillo
instacron:UNITRU
instname_str Universidad Nacional de Trujillo
instacron_str UNITRU
institution UNITRU
reponame_str Revistas - Universidad Nacional de Trujillo
collection Revistas - Universidad Nacional de Trujillo
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 13.210282
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