Dynamics of covering maps of the annulus I : Semiconjugacies
Resumen:
It is often the case that a covering map of the open annulus is semiconjugate to a map of the circle of the same degree. We investigate this possibility and its consequences on the dynamics. In particular, we address the problem of the classification up to conjugacy. However, there are exam- ples which are not semiconjugate to a map of the circle, and this opens new questions.
| 2016 | |
| Dynamical Systems | |
| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/54994 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| _version_ | 1877555250868518912 |
|---|---|
| author | Iglesias, Jorge |
| author2 | Portela, Aldo Rovella, Álvaro Xavier, Juliana |
| author2_role | author author author |
| author_facet | Iglesias, Jorge Portela, Aldo Rovella, Álvaro Xavier, Juliana |
| author_role | author |
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| collection | COLIBRI |
| dc.contributor.filiacion.none.fl_str_mv | Iglesias Jorge, Universidad de la República (Uruguay). Facultad de Ingeniería. Portela Aldo, Universidad de la República (Uruguay). Facultad de Ingeniería. Rovella Álvaro, Universidad de la República (Uruguay). Facultad de Ingeniería. Xavier Juliana, Universidad de la República (Uruguay). Facultad de Ingeniería. |
| dc.creator.none.fl_str_mv | Iglesias, Jorge Portela, Aldo Rovella, Álvaro Xavier, Juliana |
| dc.date.accessioned.none.fl_str_mv | 2026-05-14T11:37:51Z |
| dc.date.available.none.fl_str_mv | 2026-05-14T11:37:51Z |
| dc.date.issued.none.fl_str_mv | 2016 |
| dc.description.abstract.none.fl_txt_mv | It is often the case that a covering map of the open annulus is semiconjugate to a map of the circle of the same degree. We investigate this possibility and its consequences on the dynamics. In particular, we address the problem of the classification up to conjugacy. However, there are exam- ples which are not semiconjugate to a map of the circle, and this opens new questions. |
| dc.format.extent.es.fl_str_mv | 22 p. |
| dc.format.mimetype.es.fl_str_mv | application/pdf |
| dc.identifier.citation.es.fl_str_mv | Iglesias, J., Portela, A., Rovella, Á. y otros. Dynamics of covering maps of the annulus I : Semiconjugacies [Preprint] Publicado en : arXiv:1402.2317v3 [math.DS], 2016, pp 1-22. DOI: 10.48550/arXiv.1402.2317. https://arxiv.org/abs/1402.2317 |
| dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/54994 |
| dc.language.iso.none.fl_str_mv | en eng |
| dc.rights.license.none.fl_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| dc.rights.none.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.source.none.fl_str_mv | reponame:COLIBRI instname:Universidad de la República instacron:Universidad de la República |
| dc.subject.es.fl_str_mv | Dynamical Systems |
| dc.title.none.fl_str_mv | Dynamics of covering maps of the annulus I : Semiconjugacies |
| dc.type.es.fl_str_mv | Preprint |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/preprint |
| dc.type.version.none.fl_str_mv | info:eu-repo/semantics/submittedVersion |
| description | It is often the case that a covering map of the open annulus is semiconjugate to a map of the circle of the same degree. We investigate this possibility and its consequences on the dynamics. In particular, we address the problem of the classification up to conjugacy. However, there are exam- ples which are not semiconjugate to a map of the circle, and this opens new questions. |
| eu_rights_str_mv | openAccess |
| format | preprint |
| id | COLIBRI_c6cb68d8d6da98a0404a64e0fa8df49b |
| identifier_str_mv | Iglesias, J., Portela, A., Rovella, Á. y otros. Dynamics of covering maps of the annulus I : Semiconjugacies [Preprint] Publicado en : arXiv:1402.2317v3 [math.DS], 2016, pp 1-22. DOI: 10.48550/arXiv.1402.2317. https://arxiv.org/abs/1402.2317 |
| instacron_str | Universidad de la República |
| institution | Universidad de la República |
| instname_str | Universidad de la República |
| language | eng |
| language_invalid_str_mv | en |
| network_acronym_str | COLIBRI |
| network_name_str | COLIBRI |
| oai_identifier_str | oai:colibri.udelar.edu.uy:20.500.12008/54994 |
| publishDate | 2016 |
| reponame_str | COLIBRI |
| repository.mail.fl_str_mv | karina.camps@seciu.edu.uy |
| repository.name.fl_str_mv | COLIBRI - Universidad de la República |
| repository_id_str | 4771 |
| rights_invalid_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| spelling | Iglesias Jorge, Universidad de la República (Uruguay). Facultad de Ingeniería.Portela Aldo, Universidad de la República (Uruguay). Facultad de Ingeniería.Rovella Álvaro, Universidad de la República (Uruguay). Facultad de Ingeniería.Xavier Juliana, Universidad de la República (Uruguay). Facultad de Ingeniería.2026-05-14T11:37:51Z2026-05-14T11:37:51Z2016Iglesias, J., Portela, A., Rovella, Á. y otros. Dynamics of covering maps of the annulus I : Semiconjugacies [Preprint] Publicado en : arXiv:1402.2317v3 [math.DS], 2016, pp 1-22. DOI: 10.48550/arXiv.1402.2317. https://arxiv.org/abs/1402.2317https://hdl.handle.net/20.500.12008/54994It is often the case that a covering map of the open annulus is semiconjugate to a map of the circle of the same degree. We investigate this possibility and its consequences on the dynamics. In particular, we address the problem of the classification up to conjugacy. However, there are exam- ples which are not semiconjugate to a map of the circle, and this opens new questions.Submitted by Ribeiro Jorge (jribeiro@fing.edu.uy) on 2026-04-29T20:20:26Z No. of bitstreams: 2 license_rdf: 27293 bytes, checksum: d62648cf14c1e37917d392ac87012955 (MD5) IPRX16.pdf: 291856 bytes, checksum: 18c0e1b5952016669d38b9085da2ae6c (MD5)Approved for entry into archive by Machado Jimena (jmachado@fing.edu.uy) on 2026-05-13T17:52:53Z (GMT) No. of bitstreams: 2 license_rdf: 27293 bytes, checksum: d62648cf14c1e37917d392ac87012955 (MD5) IPRX16.pdf: 291856 bytes, checksum: 18c0e1b5952016669d38b9085da2ae6c (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@seciu.edu.uy) on 2026-05-14T11:37:51Z (GMT). No. of bitstreams: 2 license_rdf: 27293 bytes, checksum: d62648cf14c1e37917d392ac87012955 (MD5) IPRX16.pdf: 291856 bytes, checksum: 18c0e1b5952016669d38b9085da2ae6c (MD5) Previous issue date: 201622 p.application/pdfenengLas obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad de la República.(Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessLicencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)Dynamical SystemsDynamics of covering maps of the annulus I : SemiconjugaciesPreprintinfo:eu-repo/semantics/preprintinfo:eu-repo/semantics/submittedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaIglesias, JorgePortela, AldoRovella, ÁlvaroXavier, JulianaLICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/54994/5/license.txt6429389a7df7277b72b7924fdc7d47a9MD55CC-LICENSElicense_urllicense_urltext/plain; charset=utf-850http://localhost:8080/xmlui/bitstream/20.500.12008/54994/2/license_urla006180e3f5b2ad0b88185d14284c0e0MD52license_textlicense_texttext/html; charset=utf-835935http://localhost:8080/xmlui/bitstream/20.500.12008/54994/3/license_text00c6a163e62314ee9d2a181a90bf9e84MD53license_rdflicense_rdfapplication/rdf+xml; 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- Universidad de la Repúblicafalse |
| spellingShingle | Dynamics of covering maps of the annulus I : Semiconjugacies Iglesias, Jorge Dynamical Systems |
| status_str | submittedVersion |
| title | Dynamics of covering maps of the annulus I : Semiconjugacies |
| title_full | Dynamics of covering maps of the annulus I : Semiconjugacies |
| title_fullStr | Dynamics of covering maps of the annulus I : Semiconjugacies |
| title_full_unstemmed | Dynamics of covering maps of the annulus I : Semiconjugacies |
| title_short | Dynamics of covering maps of the annulus I : Semiconjugacies |
| title_sort | Dynamics of covering maps of the annulus I : Semiconjugacies |
| topic | Dynamical Systems |
| url | https://hdl.handle.net/20.500.12008/54994 |
