Coincidência de aplicações em fibrados com base circulo e fibra garrafa de Klein.

Silva, Weslem Liberato

doi:10.11606/D.45.2009.tde-17022009-135551

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Master's Dissertation

DOI

https://doi.org/10.11606/D.45.2009.tde-17022009-135551

Document

Master's Dissertation

Author

Silva, Weslem Liberato (Catálogo USP)

Full name

Weslem Liberato Silva

E-mail

Institute/School/College

Instituto de Matemática e Estatística

Knowledge Area

Mathematics

Date of Defense

2009-03-03

Published

São Paulo, 2009

Supervisor

Goncalves, Daciberg Lima (Catálogo USP)

Committee

Goncalves, Daciberg Lima (President)
Vendruscolo, Daniel
Vieira, Joao Peres

Title in Portuguese

Coincidência de aplicações em fibrados com base circulo e fibra garrafa de Klein.

Keywords in Portuguese

coincidência
fibrados
homotopia que preserva fibra.

Abstract in Portuguese

Sejam K, a garrafa de Klein, e K M S^ um fibrado com base S^ e fibra K. Neste trabalho estudamos o seguinte problema: dadas aplicações f, g : M M que preservam fibra sobre S^, quando o par (f, g) pode ser deformado, por uma homotopia que preserva fibra sobre S^, a um par de aplicações (f^{'} , g^{'} ) livre de coincidência?

Title in English

Coincidence of maps on Klein bottle Fiiber bundles over the Ciircle.

Keywords in English

coincidence
fiber bundle
fiberwise homotopy.

Abstract in English

Let K be the Klein bottle and let K M S be a Klein bottle bundle over S 1 . In this work we study the following question: given a pair of fiber preserving maps over S^ , when can it be deformed by a fiberwise homotopy over S into a pair of coincidence free fiber preserving maps over S^, (f^{'} , g^{'} ) ?

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Publishing Date

2009-06-26

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