Escribano Martínez, Jesús2023-06-202023-06-2020020002-993910.1090/S0002-9939-02-06327-Xhttps://hdl.handle.net/20.500.14352/58905In 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.engBifurcation sets of definable functions in O-minimal structuresjournal articlehttp://www.ams.org/journals/proc/2002-130-08/S0002-9939-02-06327-X/home.htmlhttp://www.ams.org/open access514/515ManifoldsGeometría diferencial1204.04 Geometría Diferencial