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Doctoral Thesis
DOI
https://doi.org/10.11606/T.45.2009.tde-17082009-162658
Document
Author
Full name
Hildebrane Augusto dos Santos
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2009
Supervisor
Committee
Wong, Peter Ngai Sing (President)
Cardona, Fernanda Soares Pinto
Libardi, Alice Kimie Miwa
Manzoli Neto, Oziride
Vendruscolo, Daniel
Title in Portuguese
Teoria de Nielsen de raizes para aplicações equivariantes
Keywords in Portuguese
G-número de Nielsen de raizes
G-número de Reidemeister de raizes
Número de Nielsen de raizes
número de Reidemeister de raizes
revestimento de Hopf.
Abstract in Portuguese
Este trabalho consiste de duas partes. Na primeira, desenvolvemos uma teoria de Nielsen equivariante para raizes de G-aplicações $f:X\to Y$ equivariantes entre G-espaços topológicos Hausdorff, conexos, normais, localmente conexos por caminhos e semilocalmente simplesmente conexos, onde G é um grupo topológico, Na segunda parte, estudamos a questão da realização do G-número de Nielsen de raizes quando este é zero.
Title in English
Nielsen root rheory for equivariant mappings
Keywords in English
G-Nielsen root number
G-Reidemeister root number
Hopf covering map.
Nielsen root number
Reidemeister root number
Abstract in English
This work consists of two parts. In the firs one, we develop an equivariant Nielsen root theory for G-maps. We consider equivariant maps $f:X\to Y$ between Hausdorff, connected, normal, locally path connected and semilocally simply connected G-spaces, where G is a topological group. In the second part, we study the question of the realization of G-Nielsen root number when it is zero.
 
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tese_hilde.pdf (379.41 Kbytes)
Publishing Date
2010-02-02
 
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