Digital homotopic distance between digital functions

[EN] In this paper, we define digital homotopic distance and give its relation with LS category of a digital function and of a digital image. Moreover, we introduce some properties of digital homotopic distance such as being digitally homotopy invariance.

Detalles Bibliográficos
Autor: Borat, Ayse
Tipo de recurso: artículo
Fecha de publicación:2021
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:10251/165251
Acceso en línea:https://riunet.upv.es/handle/10251/165251
Access Level:acceso abierto
Palabra clave:Homotopic distance
Lusternik Schnirelmann category
Digital topology
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spelling Digital homotopic distance between digital functionsBorat, AyseHomotopic distanceLusternik Schnirelmann categoryDigital topology[EN] In this paper, we define digital homotopic distance and give its relation with LS category of a digital function and of a digital image. Moreover, we introduce some properties of digital homotopic distance such as being digitally homotopy invariance.The author would like to thank Tane Vergili and the referees for their helpful suggestions. In particular, the author would like to thank the referee who contributed Proposition 3.2 and Example 4.3.Universitat Politècnica de ValènciaRepositorio Institucional de la Universitat Politècnica de València Riunet20212021-04-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/165251reponame: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 - Sin obra derivada (by-nc-nd) http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/1652512026-06-13T07:49:27Z
dc.title.none.fl_str_mv Digital homotopic distance between digital functions
title Digital homotopic distance between digital functions
spellingShingle Digital homotopic distance between digital functions
Borat, Ayse
Homotopic distance
Lusternik Schnirelmann category
Digital topology
title_short Digital homotopic distance between digital functions
title_full Digital homotopic distance between digital functions
title_fullStr Digital homotopic distance between digital functions
title_full_unstemmed Digital homotopic distance between digital functions
title_sort Digital homotopic distance between digital functions
dc.creator.none.fl_str_mv Borat, Ayse
author Borat, Ayse
author_facet Borat, Ayse
author_role author
dc.contributor.none.fl_str_mv Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Homotopic distance
Lusternik Schnirelmann category
Digital topology
topic Homotopic distance
Lusternik Schnirelmann category
Digital topology
description [EN] In this paper, we define digital homotopic distance and give its relation with LS category of a digital function and of a digital image. Moreover, we introduce some properties of digital homotopic distance such as being digitally homotopy invariance.
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-04-01
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/10251/165251
url https://riunet.upv.es/handle/10251/165251
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 - 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
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