On the topology of topological fundamental groupoids

[EN] ‎This paper is devoted to the Lasso and the Whisker topology of the fundamental groupoid‎. ‎We prove that topological fundamental groupoid of a given space X is locally path connected ‎in‎ ‎general‎ and is path connected if X is simply connected‎. ‎We show that for locally path connected space...

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Detalhes bibliográficos
Autor: Pakdaman, Ali
Formato: artículo
Fecha de publicación:2025
País:España
Recursos:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/221860
Acesso em linha:https://riunet.upv.es/handle/10251/221860
Access Level:acceso abierto
Palavra-chave:Topological fundamental groupoid
Lasso topology
Whisker topology
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spelling On the topology of topological fundamental groupoidsPakdaman, AliTopological fundamental groupoidLasso topologyWhisker topology[EN] ‎This paper is devoted to the Lasso and the Whisker topology of the fundamental groupoid‎. ‎We prove that topological fundamental groupoid of a given space X is locally path connected ‎in‎ ‎general‎ and is path connected if X is simply connected‎. ‎We show that for locally path connected space X‎, ‎the unit map 1 : X → π X is an embedding if and only if X is a semilocally simply connected space‎. ‎Also‎, ‎we give conditions that guarantee Hausdorffness of the topological fundamental groupoid‎.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/10251/221860reponame: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:10251/2218602026-06-13T07:49:27Z
dc.title.none.fl_str_mv On the topology of topological fundamental groupoids
title On the topology of topological fundamental groupoids
spellingShingle On the topology of topological fundamental groupoids
Pakdaman, Ali
Topological fundamental groupoid
Lasso topology
Whisker topology
title_short On the topology of topological fundamental groupoids
title_full On the topology of topological fundamental groupoids
title_fullStr On the topology of topological fundamental groupoids
title_full_unstemmed On the topology of topological fundamental groupoids
title_sort On the topology of topological fundamental groupoids
dc.creator.none.fl_str_mv Pakdaman, Ali
author Pakdaman, Ali
author_facet Pakdaman, Ali
author_role author
dc.contributor.none.fl_str_mv Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Topological fundamental groupoid
Lasso topology
Whisker topology
topic Topological fundamental groupoid
Lasso topology
Whisker topology
description [EN] ‎This paper is devoted to the Lasso and the Whisker topology of the fundamental groupoid‎. ‎We prove that topological fundamental groupoid of a given space X is locally path connected ‎in‎ ‎general‎ and is path connected if X is simply connected‎. ‎We show that for locally path connected space X‎, ‎the unit map 1 : X → π X is an embedding if and only if X is a semilocally simply connected space‎. ‎Also‎, ‎we give conditions that guarantee Hausdorffness of the topological fundamental groupoid‎.
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/10251/221860
url https://riunet.upv.es/handle/10251/221860
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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