Regularity at infinity and global fibrations of real algebraic maps

Regularity at infinity and global fibrations of real algebraic maps

Let f : \'K POT. \' be a \'C POT. 2\' semi-algebraic mapping for K = R and a polynomial mapping for K = C. It is well-known that f is a locally trivial topological fibration over the complement of the bifurcation set B(f), also called atypical set. In this work, we consider...

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Bibliographic Details
Main Author: Luis Renato Gonçalves Dias
Other Authors: Maria Aparecida Soares Ruas
Language:English
Published: Universidade de São Paulo 2013
Subjects:
Condição de regularidade no infinito
Fecho integral
Teoremas tipo Morse-Sard
Valores atípicos
Valores críticos assintóticos
Valores de bifurcação
Asymptotic critical values
Atypical values
Bifurcation values
Integral closure
Morse-Sard type theorem
Regularity conditions at infinity
Online Access:http://www.teses.usp.br/teses/disponiveis/55/55135/tde-30042013-163011/

Internet

http://www.teses.usp.br/teses/disponiveis/55/55135/tde-30042013-163011/

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