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On Strongly Inflexible Manifolds
| dc.contributor.author | Costoya, Cristina | |
| dc.contributor.author | Muñoz, Vicente | |
| dc.contributor.author | Viruel, Antonio | |
| dc.date.accessioned | 2024-02-16T11:47:27Z | |
| dc.date.issued | 2023-05 | |
| dc.identifier.citation | 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 | es_ES |
| dc.identifier.uri | http://hdl.handle.net/2183/35641 | |
| dc.description | This 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.sponsorship | This 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.language.iso | eng | es_ES |
| dc.publisher | Oxford University Press | es_ES |
| dc.relation | info: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 ASOCIATIVAS | es_ES |
| dc.relation | info: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-RIEMANNIANA | es_ES |
| dc.relation | info: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 INTERACCIONES | es_ES |
| dc.relation.isversionof | https://doi.org/10.1093/imrn/rnac064 | |
| dc.relation.uri | https://doi.org/10.1093/imrn/rnac064 | es_ES |
| dc.rights | Copyright © 2022, © The Author(s) 2022. | es_ES |
| dc.subject | Topological Complexity | es_ES |
| dc.subject | Homotopy | es_ES |
| dc.subject | Gauge Group | es_ES |
| dc.subject | Manifolds | es_ES |
| dc.title | On Strongly Inflexible Manifolds | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.rights.access | info:eu-repo/semantics/embargoedAccess | es_ES |
| dc.date.embargoEndDate | 2024-05-01 | es_ES |
| dc.date.embargoLift | 2024-05-01 | |
| UDC.journalTitle | International Mathematics Research Notices | es_ES |
| UDC.volume | 2023 | es_ES |
| UDC.issue | 9 | es_ES |
| UDC.startPage | 7355 | es_ES |
| UDC.endPage | 7390 | es_ES |
| dc.identifier.doi | 10.1093/imrn/rnac064 |
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