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Doctoral Thesis
DOI
https://doi.org/10.11606/T.55.2007.tde-26042007-151119
Document
Author
Full name
Rodrigo Martins
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2007
Supervisor
Committee
Saia, Marcelo José (President)
Ballesteros, Juan José Nuño
Fernandes, Alexandre César Gurgel
Garcia, Ronaldo Alves
Pergher, Pedro Luiz Queiroz
Title in Portuguese
Topologia e singularidades das superfícies regradas em ' R POT.3"
Keywords in Portuguese
Classificação topológica
Singularidades simples
Superfícies regradas
Trivialidade topológica.
Abstract in Portuguese
Neste trabalho estudamos a topologia local, trivialidade topolóogica e as singularidades de superfícies regradas em 'R POT.3'. O objetivo do trabalho é comparar as singularidades que ocorrem no conjunto das superfícies regradas com as singularidades de germes de aplicações de 'R POT.2' em 'R POT.3', fazer a classificação topológica local e estudar a trivialidade topológica de famílias de superfícies regradas. Finalmente, discutimos possíveis generalizações de superfícies regradas para altas dimensões
Title in English
Singularity and topology of ruled surface in 'R POT.3'
Keywords in English
Ruled surface
Simple singularity and topology triviality
Topological clasifiction
Abstract in English
We study the local topology, topological triviality and singularities of ruled surfaces in 'R POT.3'. In this work we compare the singularities of germs from 'R POT.2' to 'R POT.3' with the singularities appearing in the set of ruled surfaces, doing a local topology classification of the ruled surface and study the topological triviality of families of ruled surfaces. Finally we will try to give possible generalizations of ruled surfaces for higher dimensions.
 
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Publishing Date
2007-05-16
 
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