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Doctoral Thesis
DOI
10.11606/T.55.2018.tde-21092018-145921
Document
Author
Full name
Walter dos Santos Motta Junior
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1992
Supervisor
Committee
Porto Junior, Paulo Ferreira da Silva (President)
Carrara, Vera Lucia
Fuster, Maria Del Carmen Romero
Manzoli Neto, Oziride
Tadini, Wilson Mauricio
Title in Portuguese
SOBRE O PROBLEMA DE SEPARAÇÃO E SOBRE A TOPOLOGIA DE CERTAS APLICAÇÕES ESTÁVEIS
Keywords in Portuguese
Não disponível
Abstract in Portuguese
Não disponível
Title in English
Not available
Keywords in English
Not availavle
Abstract in English
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.
 
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Publishing Date
2018-09-21
 
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