Não disponível / The following theorem is know as Nielsen\'s Theorem on finite mapping classes: if M is a closed orientable surfaces and if H : M → M is a map whose n-th power homotopic to the identify, then H is homotopic to a homeomorphism K with Kn = identity. In this work we show that Nielsen\'s Theorem fails in dimension bigger than two. In other words for each integer m ≥ 3 we construct a m-dimensional closed orientable manifold M together with a homeomorphism H : M → M, such that the n-iterated of H is homotopic to the identity but H itself is not homotopic to a homeomorphism K : M → M satisfying Kn = IM.
| Identifer | oai:union.ndltd.org:usp.br/oai:teses.usp.br:tde-01042019-164152 |
| Date | 09 June 1989 |
| Creators | Campos, José Eduardo Prado Pires de |
| Contributors | Porto Junior, Paulo Ferreira da Silva |
| Publisher | Biblioteca Digitais de Teses e Dissertações da USP |
| Source Sets | Universidade de São Paulo |
| Language | Portuguese |
| Detected Language | English |
| Type | Dissertação de Mestrado |
| Format | application/pdf |
| Rights | Liberar o conteúdo para acesso público. |
Page generated in 0.0017 seconds