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Doctoral Thesis
DOI
Document
Author
Full name
Yolanda Kioko Saito Furuya
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1986
Supervisor
Committee
Porto Junior, Paulo Ferreira da Silva (President)
Carrara, Vera Lucia
Egusquiza, Eduardo Alfonso Chincaro
Izar, Sebastiao Antonio
Ruas, Maria Aparecida Soares
Title in Portuguese
SOBRE APLICAÇÕES GENÉRICAS M4 → R2
Keywords in Portuguese
Não disponível
Abstract in Portuguese
Não disponível
Title in English
Not available
Keywords in English
Not available
Abstract in English
The main purpose of the present work as to study geometrical properties of closed, oriented 4-manifolds as domam n of generic maps into the plane. First, we get the local configurations for the 2-dimensional complex Wf of the Stein Factoriaation of a stable map f: M --> R2 and we study some examples where the maps are not stable. Then, we study the special generic maps where - all the singularities are definite folds, and we also classify the 4- manifolds which arise as the domain of such a map, generalizing the theorems of O. Burlet and G. de Rham for the 3-dimensional case. Finally, we get a relation between smooth families of special generic maps and image-homotopy tin the sense of L. Kauffman) of immersions of compact surfaces with boundary into the plane.
 
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Publishing Date
2019-10-25
 
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