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Doctoral Thesis
DOI
Document
Author
Full name
Alice Kimie Miwa Libardi
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1986
Supervisor
Committee
Biasi, Carlos (President)
Borsari, Lucilia Daruiz
Daccach, Janey Antonio
Loibel, Gilberto Francisco
Qualifik, Paul
Title in Portuguese
INTERSECÇÃO DE FUNÇÕES E TRANSVERSALIDADE
Keywords in Portuguese
Não disponível
Abstract in Portuguese
Não disponível
Title in English
Not available
Keywords in English
Not available
Abstract in English
In this work a geometric interpretation of the obstructions to the eXtension of functions obtained_ from intersection of functions, is given. Let Mm and Nn be smooth closed manifolds land let V ⊂ M and K ⊂ N be closed submanifolds of same codimension. One of our goals is to give a necessary and sufficient condition for the existence of a smooth map f: M → N, transversal to K, such that V = f-1(K). In Chapter I we obtain conditions for the non existence of the map f. In Chapter III we find some results that guarantee the existence of such a map. For example: if Vm-2 ⊃ Mm is an oriented submanifold homologous to zero in an oriented manifold M, then there exists f: M → Sn such that f Φ sn-2 and Vm-2 = f-1 (Sn-2).
 
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Publishing Date
2019-10-29
 
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