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Doctoral Thesis
DOI
https://doi.org/10.11606/T.45.2004.tde-20220712-121149
Document
Author
Full name
Aldo Portela Almada
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2004
Supervisor
 
Title in Portuguese
Conjuntos regulares do círculo e minimalidade
Keywords in Portuguese
Sistemas Dinâmicos
Abstract in Portuguese
Ainda que qualquer conjunto de Cantor do círculo seja o conjunto minimal de algum homeomorfismo de 'S IND. 1', nem sempre tal conjunto é minimal para um difeomorfismo de classe 'C IND. 1' do círculo. Nesta tese, provamos que nenhum elemento de uma certa família dos chamados conjunto de Cantor regulares é 'C IND. 1'-minimal. Também provamos em geral que nenhum conjunto de Cantor regular é'C IND. 1+épsilon'-minimal para nenhum 'épsilon'>0, e generalizamos este último resultado para uma classe ainda maior de conjuntos de Cantor que chamamos conjuntos de Cantor quase-regulares.
 
Title in English
not available
Abstract in English
not available
 
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AlmadaAldoPortela.pdf (6.45 Mbytes)
Publishing Date
2022-07-13
 
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