The higher topological complexity in digital images

[EN] Y. Rudyak develops the concept of the topological complexity TC(X) defined by M. Farber. We study this notion in digital images by using the fundamental properties of the digital homotopy. These properties can also be useful for the future works in some applications of algebraic topology beside...

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Detalles Bibliográficos
Autores: İs, Melih, Karaca, İsmet
Tipo de recurso: artículo
Fecha de publicación:2020
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:10251/151455
Acceso en línea:https://riunet.upv.es/handle/10251/151455
Access Level:acceso abierto
Palabra clave:Topological complexity
Digital topology
Homotopy theory
Digital topological complexity
Image analysis
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spelling The higher topological complexity in digital imagesİs, MelihKaraca, İsmetTopological complexityDigital topologyHomotopy theoryDigital topological complexityImage analysis[EN] Y. Rudyak develops the concept of the topological complexity TC(X) defined by M. Farber. We study this notion in digital images by using the fundamental properties of the digital homotopy. These properties can also be useful for the future works in some applications of algebraic topology besides topological robotics. Moreover, we show that the cohomological lower bounds for the digital topological complexity TC(X,κ) do not hold.he first author is granted as fellowship by the Scientific and Technological Research Council of Turkey TUBITAK2211-A. In addition, this work was partially supported by Research Fund of the Ege University (Project Number: FDK-2020-21123)Universitat Politècnica de ValènciaTechnological Research Council of TurkeyEge UniversityRepositorio Institucional de la Universitat Politècnica de València Riunet20202020-10-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/151455reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengScientific and Technological Research Council of Turkey https://doi.org/10.13039/501100004410 2211-AEge University Ege University FDK-2020-21123open 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:10251/1514552026-06-13T07:49:27Z
dc.title.none.fl_str_mv The higher topological complexity in digital images
title The higher topological complexity in digital images
spellingShingle The higher topological complexity in digital images
İs, Melih
Topological complexity
Digital topology
Homotopy theory
Digital topological complexity
Image analysis
title_short The higher topological complexity in digital images
title_full The higher topological complexity in digital images
title_fullStr The higher topological complexity in digital images
title_full_unstemmed The higher topological complexity in digital images
title_sort The higher topological complexity in digital images
dc.creator.none.fl_str_mv İs, Melih
Karaca, İsmet
author İs, Melih
author_facet İs, Melih
Karaca, İsmet
author_role author
author2 Karaca, İsmet
author2_role author
dc.contributor.none.fl_str_mv Technological Research Council of Turkey
Ege University
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Topological complexity
Digital topology
Homotopy theory
Digital topological complexity
Image analysis
topic Topological complexity
Digital topology
Homotopy theory
Digital topological complexity
Image analysis
description [EN] Y. Rudyak develops the concept of the topological complexity TC(X) defined by M. Farber. We study this notion in digital images by using the fundamental properties of the digital homotopy. These properties can also be useful for the future works in some applications of algebraic topology besides topological robotics. Moreover, we show that the cohomological lower bounds for the digital topological complexity TC(X,κ) do not hold.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-10-01
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/10251/151455
url https://riunet.upv.es/handle/10251/151455
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Scientific and Technological Research Council of Turkey https://doi.org/10.13039/501100004410 2211-A
Ege University Ege University FDK-2020-21123
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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