Bifurcation sets of definable functions in o-minimal structures

Escribano, Jesús

doi:10.1090/S0002-9939-02-06327-X

Bifurcation sets of definable functions in o-minimal structures
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Proc. Amer. Math. Soc. 130 (2002), 2419-2424 Request permission

Abstract:

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.

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