Teoria de Nielsen de raízes e teoria do grau de Hopf

Taneda, Paulo Takashi

doi:10.11606/D.45.2007.tde-04062007-204158

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Master's Dissertation

DOI

https://doi.org/10.11606/D.45.2007.tde-04062007-204158

Document

Master's Dissertation

Author

Taneda, Paulo Takashi (Catálogo USP)

Full name

Paulo Takashi Taneda

E-mail

Institute/School/College

Instituto de Matemática e Estatística

Knowledge Area

Mathematics

Date of Defense

2007-03-15

Published

São Paulo, 2007

Supervisor

Borsari, Lucilia Daruiz (Catálogo USP)

Committee

Borsari, Lucilia Daruiz (President)
Cardona, Fernanda Soares Pinto
Vendruscolo, Daniel

Title in Portuguese

Teoria de Nielsen de raízes e teoria do grau de Hopf

Keywords in Portuguese

Cohomologia de Cech
grau cohomológico
multiplicidade de uma classe de raízes
Teoria de Nielsen de raízes
Teoria do grau de Hopf
transversalidade de microfibrados

Abstract in Portuguese

Neste trabalho, veremos que a noção de número de Nielsen pode ser estendida para aplicações entre variedades topológicas não necessariamente orientáveis ou compactas, com ou sem fronteira.

Title in English

Nielsen Root Theory and Hopf Degree Theory

Keywords in English

Cech Cohomology
Hopf Degree Theory
Microbundles Transversality
Multiplicity of a Root Class
Nielsen Root Theory
Nilsen number

Abstract in English

In this work, we are going to see that the concept of Nilsen Root Number can be extended to maps between not necessarily orientable nor compact manifolds, with or without boundary.

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Dissertation.pdf (1.55 Mbytes)

Publishing Date

2007-06-22

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