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Master's Dissertation
DOI
10.11606/D.55.2007.tde-10122007-100624
Document
Author
Full name
Vanessa Munhoz Reina Bezerra
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2007
Supervisor
Committee
Santos, Raimundo Nonato Araújo dos (President)
Kuri, José Antonio Seade
Saia, Marcelo José
Title in Portuguese
Teoria de estratificação e condições de regularidade
Keywords in Portuguese
Condição (c) de Bekka
Condição Whitney Fraca
Condições (a) e (b) de Whitney
Estratificação
Teste da razão de Kuo e (w)-regularidade de Verdier
Abstract in Portuguese
Na presente dissertação faremos um estudo dos conjuntos algébricos, semialgébricos, analíticos, semianalíticos e subanalíticos, real e complexo, através das condições de regularidade da estratificação destes conjuntos. A idéia básica em estratificação é decompor um espaço singular em variedades regulares; e as condições de regularidade, são um controle de como essas variedades se reencontram. Faremos uma abordagem geral das principais condições de regularidade. As condições (a) e (b) de H. Whitney, a (c)-regularidade de K. Bekka, a condição Whitney fraca, definida por D. Trotman e K. Bekka, o teste da razão de Kuo e a (w)-regularidade de Verdier, apresentando suas principais propriedades, teoremas e condições de existência
Title in English
Stratification Theory and regularity conditions
Keywords in English
Conditions (a) and (b) of H. Whitney
Stratification
The (c)-regularity of K. Bekka
The condition weakly Whitney
The Kuo ratio test and the (w)-regularity of Verdier
Abstract in English
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
 
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Publishing Date
2007-12-10
 
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