ε-Open sets - doi: 10.4025/actascitechnol.v35i1.15585

Detalhes bibliográficos
Autor(a) principal: Al-Hawary, Talal Ali
Data de Publicação: 2012
Tipo de documento: Artigo
Idioma: por
eng
Título da fonte: Acta scientiarum. Technology (Online)
Texto Completo: http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/15585
Resumo: In this paper, we introduce the relatively new notion of ζ-open subset which is strictly weaker than open. We prove that the collection of all ζ-open subsets of a space forms a topology that is finer than the original one. Several characterizations and properties of this class are also given as well as connections to other well-known "generalized open" subsets.  
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spelling ε-Open sets - doi: 10.4025/actascitechnol.v35i1.15585ζ-openCountable setAnti locally countable space54C0854H05.In this paper, we introduce the relatively new notion of ζ-open subset which is strictly weaker than open. We prove that the collection of all ζ-open subsets of a space forms a topology that is finer than the original one. Several characterizations and properties of this class are also given as well as connections to other well-known "generalized open" subsets.  In this paper, we introduce the relatively new notion of ζ-open subset which is strictly weaker than open. We prove that the collection of all ζ-open subsets of a space forms a topology that is finer than the original one. Several characterizations and properties of this class are also given as well as connections to other well-known "generalized open" subsets.  Universidade Estadual De Maringá2012-08-27info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttp://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/1558510.4025/actascitechnol.v35i1.15585Acta Scientiarum. Technology; Vol 35 No 1 (2013); 111-115Acta Scientiarum. Technology; v. 35 n. 1 (2013); 111-1151806-25631807-8664reponame:Acta scientiarum. Technology (Online)instname:Universidade Estadual de Maringá (UEM)instacron:UEMporenghttp://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/15585/pdfhttp://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/15585/pdf_1Al-Hawary, Talal Aliinfo:eu-repo/semantics/openAccess2024-05-17T13:03:28Zoai:periodicos.uem.br/ojs:article/15585Revistahttps://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/indexPUBhttps://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/oai||actatech@uem.br1807-86641806-2563opendoar:2024-05-17T13:03:28Acta scientiarum. Technology (Online) - Universidade Estadual de Maringá (UEM)false
dc.title.none.fl_str_mv ε-Open sets - doi: 10.4025/actascitechnol.v35i1.15585
title ε-Open sets - doi: 10.4025/actascitechnol.v35i1.15585
spellingShingle ε-Open sets - doi: 10.4025/actascitechnol.v35i1.15585
Al-Hawary, Talal Ali
ζ-open
Countable set
Anti locally countable space
54C08
54H05.
title_short ε-Open sets - doi: 10.4025/actascitechnol.v35i1.15585
title_full ε-Open sets - doi: 10.4025/actascitechnol.v35i1.15585
title_fullStr ε-Open sets - doi: 10.4025/actascitechnol.v35i1.15585
title_full_unstemmed ε-Open sets - doi: 10.4025/actascitechnol.v35i1.15585
title_sort ε-Open sets - doi: 10.4025/actascitechnol.v35i1.15585
author Al-Hawary, Talal Ali
author_facet Al-Hawary, Talal Ali
author_role author
dc.contributor.author.fl_str_mv Al-Hawary, Talal Ali
dc.subject.por.fl_str_mv ζ-open
Countable set
Anti locally countable space
54C08
54H05.
topic ζ-open
Countable set
Anti locally countable space
54C08
54H05.
description In this paper, we introduce the relatively new notion of ζ-open subset which is strictly weaker than open. We prove that the collection of all ζ-open subsets of a space forms a topology that is finer than the original one. Several characterizations and properties of this class are also given as well as connections to other well-known "generalized open" subsets.  
publishDate 2012
dc.date.none.fl_str_mv 2012-08-27
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/15585
10.4025/actascitechnol.v35i1.15585
url http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/15585
identifier_str_mv 10.4025/actascitechnol.v35i1.15585
dc.language.iso.fl_str_mv por
eng
language por
eng
dc.relation.none.fl_str_mv http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/15585/pdf
http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/15585/pdf_1
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Universidade Estadual De Maringá
publisher.none.fl_str_mv Universidade Estadual De Maringá
dc.source.none.fl_str_mv Acta Scientiarum. Technology; Vol 35 No 1 (2013); 111-115
Acta Scientiarum. Technology; v. 35 n. 1 (2013); 111-115
1806-2563
1807-8664
reponame:Acta scientiarum. Technology (Online)
instname:Universidade Estadual de Maringá (UEM)
instacron:UEM
instname_str Universidade Estadual de Maringá (UEM)
instacron_str UEM
institution UEM
reponame_str Acta scientiarum. Technology (Online)
collection Acta scientiarum. Technology (Online)
repository.name.fl_str_mv Acta scientiarum. Technology (Online) - Universidade Estadual de Maringá (UEM)
repository.mail.fl_str_mv ||actatech@uem.br
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