Minimal set of periods for continuous self-maps of the eight space
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Data de Publicação: | 2021 |
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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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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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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 |
dc.format.none.fl_str_mv |
application/pdf |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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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1799138066975162368 |