Periodic structure of transversal maps on sum-free products of spheres

In this article we study the periodic structure of transversal maps on the product of spheres of different dimensions. In particular we give conditions for the maps to have infinitely many even and odd periods. Moreover we give conditions for having non-zero Lefschetz numbers of period m, for infini...

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Detalles Bibliográficos
Autores: Llibre, Jaume|||0000-0002-9511-5999, Sirvent, Víctor F.
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:228111
Acceso en línea:https://ddd.uab.cat/record/228111
https://dx.doi.org/urn:doi:10.1080/10236198.2019.1606216
Access Level:acceso abierto
Palabra clave:Transversal maps
Lefschetz numbers
Periodic point
Product of spheres
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spelling Periodic structure of transversal maps on sum-free products of spheresLlibre, Jaume|||0000-0002-9511-5999Sirvent, Víctor F.Transversal mapsLefschetz numbersPeriodic pointProduct of spheresIn this article we study the periodic structure of transversal maps on the product of spheres of different dimensions. In particular we give conditions for the maps to have infinitely many even and odd periods. Moreover we give conditions for having non-zero Lefschetz numbers of period m, for infinitely many m's. We generalize the results for transversal maps on rational exterior spaces of rank 1. 22019-01-0120192019-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/228111https://dx.doi.org/urn:doi:10.1080/10236198.2019.1606216reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2016-77278-PAgència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-1617European Commission https://doi.org/10.13039/501100000780 777911open accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2281112026-06-06T12:50:31Z
dc.title.none.fl_str_mv Periodic structure of transversal maps on sum-free products of spheres
title Periodic structure of transversal maps on sum-free products of spheres
spellingShingle Periodic structure of transversal maps on sum-free products of spheres
Llibre, Jaume|||0000-0002-9511-5999
Transversal maps
Lefschetz numbers
Periodic point
Product of spheres
title_short Periodic structure of transversal maps on sum-free products of spheres
title_full Periodic structure of transversal maps on sum-free products of spheres
title_fullStr Periodic structure of transversal maps on sum-free products of spheres
title_full_unstemmed Periodic structure of transversal maps on sum-free products of spheres
title_sort Periodic structure of transversal maps on sum-free products of spheres
dc.creator.none.fl_str_mv Llibre, Jaume|||0000-0002-9511-5999
Sirvent, Víctor F.
author Llibre, Jaume|||0000-0002-9511-5999
author_facet Llibre, Jaume|||0000-0002-9511-5999
Sirvent, Víctor F.
author_role author
author2 Sirvent, Víctor F.
author2_role author
dc.subject.none.fl_str_mv Transversal maps
Lefschetz numbers
Periodic point
Product of spheres
topic Transversal maps
Lefschetz numbers
Periodic point
Product of spheres
description In this article we study the periodic structure of transversal maps on the product of spheres of different dimensions. In particular we give conditions for the maps to have infinitely many even and odd periods. Moreover we give conditions for having non-zero Lefschetz numbers of period m, for infinitely many m's. We generalize the results for transversal maps on rational exterior spaces of rank 1.
publishDate 2019
dc.date.none.fl_str_mv 2
2019-01-01
2019
2019-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/228111
https://dx.doi.org/urn:doi:10.1080/10236198.2019.1606216
url https://ddd.uab.cat/record/228111
https://dx.doi.org/urn:doi:10.1080/10236198.2019.1606216
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2016-77278-P
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-1617
European Commission https://doi.org/10.13039/501100000780 777911
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
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
https://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
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