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Doctoral Thesis
DOI
10.11606/T.55.2002.tde-16062015-140453
Document
Author
Full name
Alexandre César Gurgel Fernandes
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2002
Supervisor
Committee
Saia, Marcelo José
Title in Portuguese
Teoria métrica de curvas reais e complexas
Keywords in Portuguese
Não disponível
Abstract in Portuguese
Neste trabalho abordamos o problema de classificação de conjuntos singulares sob o ponto de vista métrico. Como resultado principal, apresentamos um teorema de classificação de germes de curvas complexas, munidos da métrica euclidina induzida, módulo homeomorfismos bi-Lipschitz. A estratégia usada para a obtenção deste resultado foi o estudo do contato de arcos reais convenientes nessas curvas.
Title in English
Metric theory of real and complex curves
Keywords in English
Not available
Abstract in English
In this work we approach the problem of classification of singular sets under the metric viewpoint. As the main result, we present a theorem of classification of germs of complex curves, equipped with the induced Euclidean metric, module bi-Lipschitz homeomorphisms. The used strategy for the attainment of this result was the study of the contact of convenient real arcs in these curves.
 
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Publishing Date
2015-08-25
 
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