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Doctoral Thesis
DOI
10.11606/T.45.2012.tde-17042012-094535
Document
Author
Full name
Anderson Paião dos Santos
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2012
Supervisor
Committee
Goncalves, Daciberg Lima (President)
Vieira, Joao Peres
Borsari, Lucilia Daruiz
Fanti, Erminia de Lourdes Campello
Pergher, Pedro Luiz Queiroz
Title in Portuguese
Involuções e o teorema de Borsuk-Ulam para algumas variedades de dimensão 4
Keywords in Portuguese
Borsuk-Ulam
conível
fibrado de superfície
involução livre
Abstract in Portuguese
Na maior parte deste trabalho, estudamos a existência de involuções livres sobre algumas 4-variedades fechadas, com o mesmo tipo de homotopia do espaço total de algum fibrado de superfície sobre superfície, bem como uma generalização do teorema de Borsuk-Ulam para tais 4-variedades. Também estudamos a relação do teorema de Borsuk-Ulam, para aplicações da n-esfera em variedades, com a teoria de conível.
Title in English
Involutions and the Borsuk-Ulam theorem for some four manifolds
Keywords in English
Borsuk-Ulam
colevel
free involution
surface bundle
Abstract in English
In the most part of this work, we study the existence of free involutions over some closed 4-manifolds with the same homotopy type of the total space of some surface bundle over surface, as well as a generalization of the Borsuk-Ulam theorem for such 4-manifolds. Also we study the relation of the Borsuk-Ulam theorem, for maps from the n-sphere into manifolds, with the colevel theory.
 
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Publishing Date
2012-05-29
 
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