On Strongly Inflexible Manifolds

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UDC.coleccionInvestigaciónes_ES
UDC.departamentoCiencias da Computación e Tecnoloxías da Informaciónes_ES
UDC.endPage7390es_ES
UDC.grupoInvGrupo de Visión Artificial e Recoñecemento de Patróns (VARPA)es_ES
UDC.issue9es_ES
UDC.journalTitleInternational Mathematics Research Noticeses_ES
UDC.startPage7355es_ES
UDC.volume2023es_ES
dc.contributor.authorCostoya, Cristina
dc.contributor.authorMuñoz, Vicente
dc.contributor.authorViruel, Antonio
dc.date.accessioned2024-02-16T11:47:27Z
dc.date.embargoEndDate2024-05-01es_ES
dc.date.embargoLift2024-05-01
dc.date.issued2023-05
dc.descriptionThis is a pre-copyedited, author-produced version of an article accepted for publication in International Mathematics Research Notices following peer review. The version of record [C. Costoya, V. Muñoz, and A. Viruel, "On Strongly Inflexible Manifolds", International Mathematics Research Notices, Vol. 2023, Issue 9, pp. 7355–7390, May 2023. https://doi.org/10.1093/imrn/rnac064] is available online at: https://doi.org/10.1093/imrn/rnac064.es_ES
dc.description.abstract[Abstract]: An oriented closed connected -manifold is inflexible if it does not admit self-maps of unbounded degree. In addition, if all the maps from any other oriented closed connected -manifold have bounded degree, then is said to be strongly inflexible. The existence of simply-connected inflexible manifolds was established by Arkowitz and Lupton. However, the existence of simply-connected strongly inflexible manifolds is still an open question. We provide an algorithm relying on Sullivan models that allows us to prove that all, but one, of the known examples of simply-connected inflexible manifolds are not strongly inflexible.es_ES
dc.description.sponsorshipThis work was partially supported by Ministerio de Economía y Competitividad (Spain) [PID2020-115155GB-I00 to C.C., PID2020-118452GB-I00 to V.M., and PID2020-118753GB-I00 to A.V.].es_ES
dc.identifier.citationC. Costoya, V. Muñoz, and A. Viruel, "On Strongly Inflexible Manifolds", International Mathematics Research Notices, Vol. 2023, Issue 9, pp. 7355–7390, May 2023. https://doi.org/10.1093/imrn/rnac064es_ES
dc.identifier.doi10.1093/imrn/rnac064
dc.identifier.urihttp://hdl.handle.net/2183/35641
dc.language.isoenges_ES
dc.publisherOxford University Presses_ES
dc.relation.isversionofhttps://doi.org/10.1093/imrn/rnac064
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-115155GB-I00/ES/HOMOLOGIA, HOMOTOPIA E INVARIANTES CATEGORICOS EN GRUPOS Y ALGEBRAS NO ASOCIATIVASes_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-118452GB-I00/ES/ESTRUCTURAS GEOMETRICAS EN GEOMETRIA RIEMANNIANA Y SEMI-RIEMANNIANAes_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020–118753GB-I00/ES/TEORIA DE HOMOTOPIA MODERNA Y ESTRUCTURAS ALGEBRAICAS: APLICACIONES E INTERACCIONESes_ES
dc.relation.urihttps://doi.org/10.1093/imrn/rnac064es_ES
dc.rightsCopyright © 2022, © The Author(s) 2022.es_ES
dc.rights.accessRightsopen accesses_ES
dc.subjectTopological Complexityes_ES
dc.subjectHomotopyes_ES
dc.subjectGauge Groupes_ES
dc.subjectManifoldses_ES
dc.titleOn Strongly Inflexible Manifoldses_ES
dc.typejournal articlees_ES
dspace.entity.typePublication
relation.isAuthorOfPublicationce022d74-144a-42f4-802e-d10662909294
relation.isAuthorOfPublication.latestForDiscoveryce022d74-144a-42f4-802e-d10662909294

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