Bifurcation sets of definable functions in O-minimal structures

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Escribano Martínez, Jesús (2002) Bifurcation sets of definable functions in O-minimal structures. Proceedings of the American Mathematical Society, 130 . pp. 2419-2424. ISSN 0002-9939

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Official URL: http://www.ams.org/journals/proc/2002-130-08/S0002-9939-02-06327-X/home.html

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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.

Item Type:	Article
Uncontrolled Keywords:	Manifolds
Subjects:	Sciences > Mathematics > Differential geometry
ID Code:	24289
Deposited On:	21 Jan 2014 11:25
Last Modified:	07 Feb 2014 11:15

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