Bifurcation sets of definable functions in O-minimal structures

In 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.

Detalles Bibliográficos
Autor: Escribano Martínez, Jesús
Tipo de recurso: artículo
Fecha de publicación:2002
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/58905
Acceso en línea:https://hdl.handle.net/20.500.14352/58905
Access Level:acceso abierto
Palabra clave:514/515
Manifolds
Geometría diferencial
1204.04 Geometría Diferencial
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spelling Bifurcation sets of definable functions in O-minimal structuresEscribano Martínez, Jesús514/515ManifoldsGeometría diferencial1204.04 Geometría DiferencialIn 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.American Mathematical SocietyUniversidad Complutense de Madrid20022002-01-0120022002-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/58905reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/589052026-06-02T12:44:21Z
dc.title.none.fl_str_mv Bifurcation sets of definable functions in O-minimal structures
title Bifurcation sets of definable functions in O-minimal structures
spellingShingle Bifurcation sets of definable functions in O-minimal structures
Escribano Martínez, Jesús
514/515
Manifolds
Geometría diferencial
1204.04 Geometría Diferencial
title_short Bifurcation sets of definable functions in O-minimal structures
title_full Bifurcation sets of definable functions in O-minimal structures
title_fullStr Bifurcation sets of definable functions in O-minimal structures
title_full_unstemmed Bifurcation sets of definable functions in O-minimal structures
title_sort Bifurcation sets of definable functions in O-minimal structures
dc.creator.none.fl_str_mv Escribano Martínez, Jesús
author Escribano Martínez, Jesús
author_facet Escribano Martínez, Jesús
author_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 514/515
Manifolds
Geometría diferencial
1204.04 Geometría Diferencial
topic 514/515
Manifolds
Geometría diferencial
1204.04 Geometría Diferencial
description In 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.
publishDate 2002
dc.date.none.fl_str_mv 2002
2002-01-01
2002
2002-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/58905
url https://hdl.handle.net/20.500.14352/58905
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Mathematical Society
publisher.none.fl_str_mv American Mathematical Society
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869414385975296000
score 15,301603

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