Stratification Theory and regularity conditions / Teoria de estratificação e condições de regularidade

AUTOR(ES)
DATA DE PUBLICAÇÃO

2007

RESUMO

In the present dissertation we do a study of algebraic, semialgebraic, analytic, semianalytic and subanalytic sets, real and complex, through the regularity conditions of the stratification of these sets. The basic idea in stratification is to decompose a singular space into manifolds; and the regularity conditions, is a control of how these manifolds fit together. We do a general approach of the main regularity conditions. The conditions (a) and (b) of H. Whitney, the (c)-regularity of K. Bekka, the condition weakly Whitney, defined for D. Trotman and K. Bekka, the Kuo ratio test and the (w)-regularity of Verdier, presenting their main properties, theorems and conditions of existence

ASSUNTO(S)

condições (a) e (b) de whitney stratification condição (c) de bekka teste da razão de kuo e (w)-regularidade de verdier estratificação the kuo ratio test and the (w)-regularity of verdier conditions (a) and (b) of h. whitney condição whitney fraca the condition weakly whitney the (c)-regularity of k. bekka

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