★-quasi-pseudometrics on algebraic structures

[EN] In this paper, we introduce some concepts of ★-(quasi)-pseudometric spaces, and give an example which shows that there is a ★-quasi-pseudometric space which is not a quasi-pseudometric space. We also study the conditions under which ★-quasi-pseudometric semitopological groups are paratopologica...

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Detalles Bibliográficos
Autores: He, Shi-Yao, Jin, Ying-Ying, Xie, Li-Hong
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/199728
Acceso en línea:https://riunet.upv.es/handle/10251/199728
Access Level:acceso abierto
Palabra clave:Topological group
Paratopological groups
Topological semigroup
Invariant ★-(quasi-)pseudometric
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spelling ★-quasi-pseudometrics on algebraic structuresHe, Shi-YaoJin, Ying-YingXie, Li-HongTopological groupParatopological groupsTopological semigroupInvariant ★-(quasi-)pseudometric[EN] In this paper, we introduce some concepts of ★-(quasi)-pseudometric spaces, and give an example which shows that there is a ★-quasi-pseudometric space which is not a quasi-pseudometric space. We also study the conditions under which ★-quasi-pseudometric semitopological groups are paratopological groups or topological groups.This research is supported by the Natural Science Foundation of Guangdong Province under Grant (Nos.2021A1515010381, 2020A1515110458), the Innovation Project of Department of Education of Guangdong Province (No. 2022KTSCX145), the Natural Science Project of Jiangmen City (No. 2021030102570004880).Universitat Politècnica de ValènciaNatural Science Foundation of Guangdong ProvinceDepartment of Education of Guangdong ProvinceBureau of Science and Technology of Jiangmen MunicipalityRepositorio Institucional de la Universitat Politècnica de València Riunet20232023-10-02journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/199728reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengNatural Science Foundation of Guangdong Province Natural Science Foundation of Guangdong ProvinceNatural Science Foundation of Guangdong Province Natural Science Foundation of Guangdong ProvinceDepartment of Education of Guangdong Province https://doi.org/10.13039/501100010226Bureau of Science and Technology of Jiangmen Municipality Bureau of Science and Technology of Jiangmen Municipalityopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/1997282026-06-13T07:49:27Z
dc.title.none.fl_str_mv ★-quasi-pseudometrics on algebraic structures
title ★-quasi-pseudometrics on algebraic structures
spellingShingle ★-quasi-pseudometrics on algebraic structures
He, Shi-Yao
Topological group
Paratopological groups
Topological semigroup
Invariant ★-(quasi-)pseudometric
title_short ★-quasi-pseudometrics on algebraic structures
title_full ★-quasi-pseudometrics on algebraic structures
title_fullStr ★-quasi-pseudometrics on algebraic structures
title_full_unstemmed ★-quasi-pseudometrics on algebraic structures
title_sort ★-quasi-pseudometrics on algebraic structures
dc.creator.none.fl_str_mv He, Shi-Yao
Jin, Ying-Ying
Xie, Li-Hong
author He, Shi-Yao
author_facet He, Shi-Yao
Jin, Ying-Ying
Xie, Li-Hong
author_role author
author2 Jin, Ying-Ying
Xie, Li-Hong
author2_role author
author
dc.contributor.none.fl_str_mv Natural Science Foundation of Guangdong Province
Department of Education of Guangdong Province
Bureau of Science and Technology of Jiangmen Municipality
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Topological group
Paratopological groups
Topological semigroup
Invariant ★-(quasi-)pseudometric
topic Topological group
Paratopological groups
Topological semigroup
Invariant ★-(quasi-)pseudometric
description [EN] In this paper, we introduce some concepts of ★-(quasi)-pseudometric spaces, and give an example which shows that there is a ★-quasi-pseudometric space which is not a quasi-pseudometric space. We also study the conditions under which ★-quasi-pseudometric semitopological groups are paratopological groups or topological groups.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023-10-02
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/199728
url https://riunet.upv.es/handle/10251/199728
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Natural Science Foundation of Guangdong Province Natural Science Foundation of Guangdong Province
Natural Science Foundation of Guangdong Province Natural Science Foundation of Guangdong Province
Department of Education of Guangdong Province https://doi.org/10.13039/501100010226
Bureau of Science and Technology of Jiangmen Municipality Bureau of Science and Technology of Jiangmen Municipality
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universitat Politècnica de València
publisher.none.fl_str_mv Universitat Politècnica de València
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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