Realization of all Dold’s congruences with stability

The main goal of this paper is to prove that for each n > 2, every sequence of integers satisfying Dold’s congruences is realized as the sequence of fixed point indices of the iterates of an orientation preserving Rn-homeomorphism at an isolated stable fixed point. We use Conley index techniques...

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Detalles Bibliográficos
Autores: Romero Ruiz del Portal, Francisco, Salazar, J. M.
Tipo de recurso: artículo
Fecha de publicación:2010
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/42016
Acceso en línea:https://hdl.handle.net/20.500.14352/42016
Access Level:acceso abierto
Palabra clave:515.1
Conley index
Fixed point index
Stable fixed points
Homeomorphisms
Topología
1210 Topología
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spelling Realization of all Dold’s congruences with stabilityRomero Ruiz del Portal, FranciscoSalazar, J. M.515.1Conley indexFixed point indexStable fixed pointsHomeomorphismsTopología1210 TopologíaThe main goal of this paper is to prove that for each n > 2, every sequence of integers satisfying Dold’s congruences is realized as the sequence of fixed point indices of the iterates of an orientation preserving Rn-homeomorphism at an isolated stable fixed point. We use Conley index techniques even though stable fixed points are not isolated invariant sets.ElsevierUniversidad Complutense de Madrid20102010-01-0120102010-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/42016reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/420162026-06-02T12:44:21Z
dc.title.none.fl_str_mv Realization of all Dold’s congruences with stability
title Realization of all Dold’s congruences with stability
spellingShingle Realization of all Dold’s congruences with stability
Romero Ruiz del Portal, Francisco
515.1
Conley index
Fixed point index
Stable fixed points
Homeomorphisms
Topología
1210 Topología
title_short Realization of all Dold’s congruences with stability
title_full Realization of all Dold’s congruences with stability
title_fullStr Realization of all Dold’s congruences with stability
title_full_unstemmed Realization of all Dold’s congruences with stability
title_sort Realization of all Dold’s congruences with stability
dc.creator.none.fl_str_mv Romero Ruiz del Portal, Francisco
Salazar, J. M.
author Romero Ruiz del Portal, Francisco
author_facet Romero Ruiz del Portal, Francisco
Salazar, J. M.
author_role author
author2 Salazar, J. M.
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 515.1
Conley index
Fixed point index
Stable fixed points
Homeomorphisms
Topología
1210 Topología
topic 515.1
Conley index
Fixed point index
Stable fixed points
Homeomorphisms
Topología
1210 Topología
description The main goal of this paper is to prove that for each n > 2, every sequence of integers satisfying Dold’s congruences is realized as the sequence of fixed point indices of the iterates of an orientation preserving Rn-homeomorphism at an isolated stable fixed point. We use Conley index techniques even though stable fixed points are not isolated invariant sets.
publishDate 2010
dc.date.none.fl_str_mv 2010
2010-01-01
2010
2010-01-01
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/20.500.14352/42016
url https://hdl.handle.net/20.500.14352/42016
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
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 15.300724