Cauchy G-spaces: Local convexity

[EN] Cauchy continuous actions of a Cauchy monoid acting on a locally convex Cauchy space X are investigated. The local convexity is determined by a partial order on X. Sufficient conditions are given to ensure the existence of a Hausdorff Cauchy space completion T for which the Cauchy continuous ac...

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Detalles Bibliográficos
Autores: Losert, Bernd, Richardson, Gary
Tipo de recurso: artículo
Fecha de publicación:2025
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:10251/221855
Acceso en línea:https://riunet.upv.es/handle/10251/221855
Access Level:acceso abierto
Palabra clave:Cauchy monoid
Cauchy continuous action
locally convex Cauchy space
completion
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spelling Cauchy G-spaces: Local convexityLosert, BerndRichardson, GaryCauchy monoidCauchy continuous actionlocally convex Cauchy spacecompletion[EN] Cauchy continuous actions of a Cauchy monoid acting on a locally convex Cauchy space X are investigated. The local convexity is determined by a partial order on X. Sufficient conditions are given to ensure the existence of a Hausdorff Cauchy space completion T for which the Cauchy continuous action can be appropriately extended to T.Universitat Politècnica de ValènciaRepositorio Institucional de la Universitat Politècnica de València Riunet20252025-04-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/221855reponame: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:10251/2218552026-06-13T07:49:27Z
dc.title.none.fl_str_mv Cauchy G-spaces: Local convexity
title Cauchy G-spaces: Local convexity
spellingShingle Cauchy G-spaces: Local convexity
Losert, Bernd
Cauchy monoid
Cauchy continuous action
locally convex Cauchy space
completion
title_short Cauchy G-spaces: Local convexity
title_full Cauchy G-spaces: Local convexity
title_fullStr Cauchy G-spaces: Local convexity
title_full_unstemmed Cauchy G-spaces: Local convexity
title_sort Cauchy G-spaces: Local convexity
dc.creator.none.fl_str_mv Losert, Bernd
Richardson, Gary
author Losert, Bernd
author_facet Losert, Bernd
Richardson, Gary
author_role author
author2 Richardson, Gary
author2_role author
dc.contributor.none.fl_str_mv Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Cauchy monoid
Cauchy continuous action
locally convex Cauchy space
completion
topic Cauchy monoid
Cauchy continuous action
locally convex Cauchy space
completion
description [EN] Cauchy continuous actions of a Cauchy monoid acting on a locally convex Cauchy space X are investigated. The local convexity is determined by a partial order on X. Sufficient conditions are given to ensure the existence of a Hausdorff Cauchy space completion T for which the Cauchy continuous action can be appropriately extended to T.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025-04-01
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/10251/221855
url https://riunet.upv.es/handle/10251/221855
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
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