Minimal set of periods for continuous self-maps of the eight space

Detalhes bibliográficos
Autor(a) principal: Llibre, Jaume
Data de Publicação: 2021
Outros Autores: Sá, Ana
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10362/128329
Resumo: MTM2016-77278-P grant 2017SGR1617 grant MSCA-RISE-2017-777911
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spelling Minimal set of periods for continuous self-maps of the eight spaceContinuous mapsMinimal periodPeriodPeriodic orbitThe space in shape of eightGeometry and TopologyApplied MathematicsMTM2016-77278-P grant 2017SGR1617 grant MSCA-RISE-2017-777911Let Gk be a bouquet of circles, i.e., the quotient space of the interval [ 0 , k] obtained by identifying all points of integer coordinates to a single point, called the branching point of Gk. Thus, G1 is the circle, G2 is the eight space, and G3 is the trefoil. Let f: Gk→ Gk be a continuous map such that, for k> 1 , the branching point is fixed. If Per (f) denotes the set of periods of f, the minimal set of periods of f, denoted by MPer (f) , is defined as ⋂ g≃fPer (g) where g: Gk→ Gk is homological to f. The sets MPer (f) are well known for circle maps. Here, we classify all the sets MPer (f) for self-maps of the eight space.DM - Departamento de MatemáticaRUNLlibre, JaumeSá, Ana2021-11-26T23:45:09Z2021-122021-12-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10362/128329eng1687-1820PURE: 35060204https://doi.org/10.1186/s13663-020-00687-9info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-03-11T05:07:59Zoai:run.unl.pt:10362/128329Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:46:17.788276Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Minimal set of periods for continuous self-maps of the eight space
title Minimal set of periods for continuous self-maps of the eight space
spellingShingle Minimal set of periods for continuous self-maps of the eight space
Llibre, Jaume
Continuous maps
Minimal period
Period
Periodic orbit
The space in shape of eight
Geometry and Topology
Applied Mathematics
title_short Minimal set of periods for continuous self-maps of the eight space
title_full Minimal set of periods for continuous self-maps of the eight space
title_fullStr Minimal set of periods for continuous self-maps of the eight space
title_full_unstemmed Minimal set of periods for continuous self-maps of the eight space
title_sort Minimal set of periods for continuous self-maps of the eight space
author Llibre, Jaume
author_facet Llibre, Jaume
Sá, Ana
author_role author
author2 Sá, Ana
author2_role author
dc.contributor.none.fl_str_mv DM - Departamento de Matemática
RUN
dc.contributor.author.fl_str_mv Llibre, Jaume
Sá, Ana
dc.subject.por.fl_str_mv Continuous maps
Minimal period
Period
Periodic orbit
The space in shape of eight
Geometry and Topology
Applied Mathematics
topic Continuous maps
Minimal period
Period
Periodic orbit
The space in shape of eight
Geometry and Topology
Applied Mathematics
description MTM2016-77278-P grant 2017SGR1617 grant MSCA-RISE-2017-777911
publishDate 2021
dc.date.none.fl_str_mv 2021-11-26T23:45:09Z
2021-12
2021-12-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10362/128329
url http://hdl.handle.net/10362/128329
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1687-1820
PURE: 35060204
https://doi.org/10.1186/s13663-020-00687-9
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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instacron:RCAAP
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reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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