A recíproca do teorema de Denjoy-Schwartz

Carvalho, Tiago de

doi:10.11606/D.55.2007.tde-18072007-101404

Home

Facilities

Master's Dissertation

DOI

https://doi.org/10.11606/D.55.2007.tde-18072007-101404

Document

Master's Dissertation

Author

Carvalho, Tiago de (Catálogo USP)

Full name

Tiago de Carvalho

E-mail

Institute/School/College

Instituto de Ciências Matemáticas e de Computação

Knowledge Area

Mathematics

Date of Defense

2007-02-13

Published

São Carlos, 2007

Supervisor

Vidalon, Carlos Teobaldo Gutierrez (Catálogo USP)

Committee

Vidalon, Carlos Teobaldo Gutierrez (President)
Apaza, Carlos Alberto Maquera
Messaoudi, Ali

Title in Portuguese

A recíproca do teorema de Denjoy-Schwartz

Keywords in Portuguese

Conjunto minimal
Recorrência
Teorema de Denjoy-Schwartz

Abstract in Portuguese

O principal resultado desta dissertação garante que dado qualquer fluxo contínuo 'varphi'numa variedade bidimensional compacta e suave, existe um fluxo de classe 'C POT.1' que é topologicamente equivalente a ele. Além disso, quando todos os conjuntos minimais de 'varphi'são triviais, 'varphi' é topologicamente equivalente a um fluxo suave

Title in English

The converse of Denjoy-Schwartz theorem

Keywords in English

Denjoy-Schwartz theorem
Minimal set
Recorrence

Abstract in English

The main result of this dissertation guarantees that give any continuous flow on a smooth compact 2-manifold, there exist a 'CPOT. 1'-flow topologically equivalent to it. Moreover, when every minimal set of 'varphi' is trivial, 'varphi' is topologically equivalent to a smooth flow

WARNING - Viewing this document is conditioned on your acceptance of the following terms of use:
This document is only for private use for research and teaching activities. Reproduction for commercial use is forbidden. This rights cover the whole data about this document as well as its contents. Any uses or copies of this document in whole or in part must include the author's name.

dissertacaoTiagorevisada.pdf (469.72 Kbytes)

Publishing Date

2007-07-18

Derived works

WARNING: Learn what derived works are clicking here.