Não disponível / In this work, we study the problem of separating the range of a given map, by its image; we also study the topology of certain stable maps. By working with immersions with normal crossings, Mm → Nm-1, we firstly obtain interesting results which guarantee the separation of N by f(M), under certain conditions. Then, by using the Stein Factorization of a given stable map and some results on the classification of 1-connected 4-manifolds, we obtain interesting information on the topologies of the singular set and of the domain of such a map, particularly in the special generic case. Finally, by working with stable maps whose only singularities are fold points and whose domain has low dimension, we simplify its singular set, by cancelling components by local deformations, in order to get topological information of the source.
| Identifer | oai:union.ndltd.org:IBICT/oai:teses.usp.br:tde-21092018-145921 |
| Date | 28 July 1992 |
| Creators | Walter dos Santos Motta Junior |
| Contributors | Paulo Ferreira da Silva Porto Junior, Vera Lucia Carrara, Maria Del Carmen Romero Fuster, Oziride Manzoli Neto, Wilson Mauricio Tadini |
| Publisher | Universidade de São Paulo, Matemática, USP, BR |
| Source Sets | IBICT Brazilian ETDs |
| Language | Portuguese |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/doctoralThesis |
| Source | reponame:Biblioteca Digital de Teses e Dissertações da USP, instname:Universidade de São Paulo, instacron:USP |
| Rights | info:eu-repo/semantics/openAccess |
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