Ultrametrics on Čech homology groups

This paper is devoted to introducing additional structure on Čech homology groups. First, we redefine the Čech homology groups in terms of what we have called approximative homology by using approximative sequences of cycles, just as Borsuk introduced shape groups using approximative maps. From this...

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Detalles Bibliográficos
Autores: Giraldo, A., Alonso Morón, Manuel, Sánchez González, Álvaro
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:español
OAI Identifier:oai:docta.ucm.es:20.500.14352/13191
Acceso en línea:https://hdl.handle.net/20.500.14352/13191
Access Level:acceso abierto
Palabra clave:515.14
Čech homology
Čech homology groups
Approximative cycle and boundary
Approximative homology
Ultrametric
Grupos (Matemáticas)
Topología
1210 Topología
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spelling Ultrametrics on Čech homology groupsGiraldo, A.Alonso Morón, ManuelSánchez González, Álvaro515.14Čech homologyČech homology groupsApproximative cycle and boundaryApproximative homologyUltrametricGrupos (Matemáticas)Topología1210 TopologíaThis paper is devoted to introducing additional structure on Čech homology groups. First, we redefine the Čech homology groups in terms of what we have called approximative homology by using approximative sequences of cycles, just as Borsuk introduced shape groups using approximative maps. From this point on, we are able to construct complete ultrametrics on Čech homology groups. The uniform type (and then the group topology) generated by the ultrametric leads to a shape invariant which we use to deduce topological consequences.ElsevierUniversidad Complutense de Madrid20192019-01-0120192019-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/13191reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Españolspaopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/131912026-06-02T12:44:21Z
dc.title.none.fl_str_mv Ultrametrics on Čech homology groups
title Ultrametrics on Čech homology groups
spellingShingle Ultrametrics on Čech homology groups
Giraldo, A.
515.14
Čech homology
Čech homology groups
Approximative cycle and boundary
Approximative homology
Ultrametric
Grupos (Matemáticas)
Topología
1210 Topología
title_short Ultrametrics on Čech homology groups
title_full Ultrametrics on Čech homology groups
title_fullStr Ultrametrics on Čech homology groups
title_full_unstemmed Ultrametrics on Čech homology groups
title_sort Ultrametrics on Čech homology groups
dc.creator.none.fl_str_mv Giraldo, A.
Alonso Morón, Manuel
Sánchez González, Álvaro
author Giraldo, A.
author_facet Giraldo, A.
Alonso Morón, Manuel
Sánchez González, Álvaro
author_role author
author2 Alonso Morón, Manuel
Sánchez González, Álvaro
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 515.14
Čech homology
Čech homology groups
Approximative cycle and boundary
Approximative homology
Ultrametric
Grupos (Matemáticas)
Topología
1210 Topología
topic 515.14
Čech homology
Čech homology groups
Approximative cycle and boundary
Approximative homology
Ultrametric
Grupos (Matemáticas)
Topología
1210 Topología
description This paper is devoted to introducing additional structure on Čech homology groups. First, we redefine the Čech homology groups in terms of what we have called approximative homology by using approximative sequences of cycles, just as Borsuk introduced shape groups using approximative maps. From this point on, we are able to construct complete ultrametrics on Čech homology groups. The uniform type (and then the group topology) generated by the ultrametric leads to a shape invariant which we use to deduce topological consequences.
publishDate 2019
dc.date.none.fl_str_mv 2019
2019-01-01
2019
2019-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/13191
url https://hdl.handle.net/20.500.14352/13191
dc.language.none.fl_str_mv Español
spa
language_invalid_str_mv Español
language spa
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
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
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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