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Normal triangulations in o-minimal structures

dc.contributor.authorBaro González, Elías
dc.date.accessioned2023-06-20T00:07:47Z
dc.date.available2023-06-20T00:07:47Z
dc.date.issued2010
dc.description.abstractLet R be an o-minimal structure over a real closed field R. Given a simplicial complex K and some definable subsets S1, . . . , Sl of its realization |K| in R we prove that there exist a subdivision K0 of K and a definable triangulation '0: |K0| ! |K| of |K| partitioning S1, . . . , Sl with '0 definably homotopic to id|K|. As an application of this result we obtain the semialgebraic Hauptvermutung.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipGEOR
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/14438
dc.identifier.citationBaro E. Normal triangulations in o-minimal structures. J Symb Log 2010;75:275–88. https://doi.org/10.2178/jsl/1264433921.
dc.identifier.doi10.2178/jsl/1264433921GEOR
dc.identifier.issn0022-4812
dc.identifier.officialurlhttps://doi.org/10.2178/jsl/1264433921
dc.identifier.relatedurlhttp://projecteuclid.org/Dienst/UI/1.0/Journal
dc.identifier.urihttps://hdl.handle.net/20.500.14352/42040
dc.issue.number1
dc.journal.titleThe Journal of Symbolic Logic
dc.language.isoeng
dc.page.final288
dc.page.initial275
dc.publisherAssociation for Symbolic Logic
dc.relation.projectIDinfo:eu-repo/grantAgreement/MEC//MTM2005-02568-E/ES/
dc.rights.accessRightsopen access
dc.subject.cdu512.7
dc.subject.keywordNormal triangulation
dc.subject.keywordo-minimal
dc.subject.keywordSemialgebraic
dc.subject.keywordHauptvermutung
dc.subject.ucmGeometria algebraica
dc.subject.unesco1201.01 Geometría Algebraica
dc.titleNormal triangulations in o-minimal structures
dc.typejournal article
dc.volume.number75
dspace.entity.typePublication
relation.isAuthorOfPublication8695b08a-762f-4ef9-ad24-b6fe687ab7cd
relation.isAuthorOfPublication.latestForDiscovery8695b08a-762f-4ef9-ad24-b6fe687ab7cd

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