Bifurcation sets of definable functions in o-minimal structures
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- by Jesús Escribano PDF
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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.References
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Additional Information
- Jesús Escribano
- Affiliation: Departamento de Sistemas Informáticos y Programación, Facultad de CC. Matemáticas, Universidad Complutense, E-28040 Madrid, Spain
- Email: escribano@sip.ucm.es
- Received by editor(s): February 2, 2001
- Received by editor(s) in revised form: February 28, 2001, and March 12, 2001
- Published electronically: February 4, 2002
- Additional Notes: The author was partially supported by DGICYT, PB98-0756-C02-01
- Communicated by: Carl G. Jockusch, Jr.
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 2419-2424
- MSC (2000): Primary 03C64; Secondary 58C25
- DOI: https://doi.org/10.1090/S0002-9939-02-06327-X
- MathSciNet review: 1897468