T_0 functional Alexandroff topologies are partial metrizable

[EN] If f : X → X is a function, the associated functional Alexandroff topology on X is the topology whose closed sets are {A ⊆ X : f(A) ⊆ A}. We prove that every functional Alexandroff topology is pseudopartial metrizable and every T0 functional Alexandroff topology is partial metrizable.

Detalles Bibliográficos
Autor: Pajoohesh, Homeira
Tipo de recurso: artículo
Fecha de publicación:2024
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:10251/210129
Acceso en línea:https://riunet.upv.es/handle/10251/210129
Access Level:acceso abierto
Palabra clave:Functional Alexandroff topology
Partial metric
Pseudopartial metric
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repository_id_str
spelling T_0 functional Alexandroff topologies are partial metrizablePajoohesh, HomeiraFunctional Alexandroff topologyPartial metricPseudopartial metric[EN] If f : X → X is a function, the associated functional Alexandroff topology on X is the topology whose closed sets are {A ⊆ X : f(A) ⊆ A}. We prove that every functional Alexandroff topology is pseudopartial metrizable and every T0 functional Alexandroff topology is partial metrizable.Universitat Politècnica de ValènciaRepositorio Institucional de la Universitat Politècnica de València Riunet20242024-10-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/210129reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento - No comercial - Compartir igual (by-nc-sa) http://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/2101292026-06-13T07:49:27Z
dc.title.none.fl_str_mv T_0 functional Alexandroff topologies are partial metrizable
title T_0 functional Alexandroff topologies are partial metrizable
spellingShingle T_0 functional Alexandroff topologies are partial metrizable
Pajoohesh, Homeira
Functional Alexandroff topology
Partial metric
Pseudopartial metric
title_short T_0 functional Alexandroff topologies are partial metrizable
title_full T_0 functional Alexandroff topologies are partial metrizable
title_fullStr T_0 functional Alexandroff topologies are partial metrizable
title_full_unstemmed T_0 functional Alexandroff topologies are partial metrizable
title_sort T_0 functional Alexandroff topologies are partial metrizable
dc.creator.none.fl_str_mv Pajoohesh, Homeira
author Pajoohesh, Homeira
author_facet Pajoohesh, Homeira
author_role author
dc.contributor.none.fl_str_mv Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Functional Alexandroff topology
Partial metric
Pseudopartial metric
topic Functional Alexandroff topology
Partial metric
Pseudopartial metric
description [EN] If f : X → X is a function, the associated functional Alexandroff topology on X is the topology whose closed sets are {A ⊆ X : f(A) ⊆ A}. We prove that every functional Alexandroff topology is pseudopartial metrizable and every T0 functional Alexandroff topology is partial metrizable.
publishDate 2024
dc.date.none.fl_str_mv 2024
2024-10-01
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/10251/210129
url https://riunet.upv.es/handle/10251/210129
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Compartir igual (by-nc-sa)
http://creativecommons.org/licenses/by-nc-sa/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 - Compartir igual (by-nc-sa)
http://creativecommons.org/licenses/by-nc-sa/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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