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Master's Dissertation
DOI
https://doi.org/10.11606/D.55.1975.tde-05072022-162213
Document
Author
Full name
Carlos Biasi
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1975
Supervisor
Committee
Saab, Mario Rameh (President)
Loibel, Gilberto Francisco
Qualifik, Paul
Title in Portuguese
BORDISMO DE FAMILIA FINITA DE NÓS ORIENTADOS EM VARIEDADES 3-DIMENSIONAIS
Keywords in Portuguese
Não disponível
Abstract in Portuguese
Não disponível
Title in English
Bordism of & finite family of oriented knots in 3-dimensionel manifolds
Keywords in English
Not available
Abstract in English
The purpose of this work is to study the ambient bordism of sub-manifolds of a given differentiable manifold. More specifically let us consider the following problem: "Let Nn be a manifold and KK ⊂ N a compact and oriented sub-manifold. Is there a sub-manifold Wk+1 ⊂ N, compact, oriented, with boundary, whose boundary is K?". In chapter 2 is formuled a necessary condition for the existence of W. This condition includes concepts of Algebraic Topology and says that if W exists, then K is homologous to zero in M. But sometimes this conditionis not sufficient for the existence of the bordism, according to some examples showed in this same chapter. The principal result of this work is in chapter 5 and affirms that if n = 3, K =1 and M is compact and oriented, then the condition above is also sufficient to the existence of W.
 
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Publishing Date
2022-07-06
 
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