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oai:docta.ucm.es:20.500.14352/589052023-08-28T18:19:20Zcom_20.500.14352_14col_20.500.14352_15

Bifurcation sets of definable functions in O-minimal structures Escribano Martínez, Jesús 514/515 Manifolds Geometría diferencial 1204.04 Geometría Diferencial 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. DGICYT Sección Deptal. de Sistemas Informáticos y Computación Fac. de Ciencias Matemáticas Instituto de Matemática Interdisciplinar (IMI) TRUE pub 2023-06-20T18:54:32Z 2023-06-20T18:54:32Z 2002 journal article https://hdl.handle.net/20.500.14352/58905 0002-9939 10.1090/S0002-9939-02-06327-X eng PB98-0756-C02-01 open access application/pdf American Mathematical Society