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Master's Dissertation
DOI
10.11606/D.55.2013.tde-08012014-092941
Document
Author
Full name
Laís da Silva Oliveira
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2013
Supervisor
Committee
Santos, Raimundo Nonato Araújo dos (President)
Mattos, Denise de
Menegon Neto, Aurélio
Title in Portuguese
Singularidades analíticas reais e complexas
Keywords in Portuguese
Condições de regularidade no infinito
Fibração de Milnor local e global
Fibrações de Milnor real e complexa
Topologia local e global da singularidade
Trivialidade topológica no infinito
Valores atípicos
Abstract in Portuguese
Neste projeto apresentamos algumas direções de pesquisa desenvolvidas no estudo da geometria/topologia da singularidade, no ambiente real e complexo, para funções e aplicações polinomiais. Para isso, utilizaremos as ferramentas da teoria de estratificação, técnicas de decomposição Open book, condições de regularidade no sentido Malgrange, t-regularidade, 'rho'E-regularidade e trivialidade topológica no infinito
Title in English
Real and complex analytic singularities
Keywords in English
Atypical value
Local and global topology of singularity
Real and complex Milnor's fibrations
Regularity conditions at infinity
Topological triviality at infinity
Abstract in English
On this project we present some research lines developed in the study of the geometry/ topology of singularity, on the real and complex settings, for functions and polynomial mappings. For this, we use tools from stratification theory, techniques of Open Book decomposition, Malgrange regularity condition, t-regularity condition, 'rho'E-regularity and topological triviality at infinity
 
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Lais_revisada.pdf (1.15 Mbytes)
Publishing Date
2014-01-08
 
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