Bifurcation sets of definable functions in O-minimal structures

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dc.contributor.authorEscribano Martínez, Jesús
dc.date.accessioned2023-06-20T18:54:32Z
dc.date.available2023-06-20T18:54:32Z
dc.date.issued2002
dc.description.abstractIn this work we answer a question stated by Loi and Zaharia concerning trivialization of definable functions off the bifurcation set: we prove that definable functions are trivial off the bifurcation set, and the trivialization can be chosen definable.
dc.description.departmentSección Deptal. de Sistemas Informáticos y Computación
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.facultyInstituto de Matemática Interdisciplinar (IMI)
dc.description.refereedTRUE
dc.description.sponsorshipDGICYT
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/24289
dc.identifier.doi10.1090/S0002-9939-02-06327-X
dc.identifier.issn0002-9939
dc.identifier.officialurlhttp://www.ams.org/journals/proc/2002-130-08/S0002-9939-02-06327-X/home.html
dc.identifier.relatedurlhttp://www.ams.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/58905
dc.journal.titleProceedings of the American Mathematical Society
dc.language.isoeng
dc.page.final2424
dc.page.initial2419
dc.publisherAmerican Mathematical Society
dc.relation.projectIDPB98-0756-C02-01
dc.rights.accessRightsopen access
dc.subject.cdu514/515
dc.subject.keywordManifolds
dc.subject.ucmGeometría diferencial
dc.subject.unesco1204.04 Geometría Diferencial
dc.titleBifurcation sets of definable functions in O-minimal structures
dc.typejournal article
dc.volume.number130
dspace.entity.typePublication
relation.isAuthorOfPublication9b45763e-7701-4878-84c6-1f23986cabfc
relation.isAuthorOfPublication.latestForDiscovery9b45763e-7701-4878-84c6-1f23986cabfc

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