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Doctoral Thesis
DOI
10.11606/T.55.2018.tde-28062018-144230
Document
Author
Full name
Isabel Cristina Rossini
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1994
Supervisor
Committee
Biasi, Carlos (President)
Goncalves, Daciberg Lima
Manzoli Neto, Oziride
Mello, Maria Herminia de Paula Leite
Rodrigues, Claudina Izepe
Title in Portuguese
SOBRE BORDISMO DE APLICAÇÕES HOMOTÓPICAS A IMERSÕES
Keywords in Portuguese
Não disponível
Abstract in Portuguese
Nesse trabalho determinamos grupos de bordismo normal de um espaço X com coeficientes num fibrado virtual orientável φ, Ωim(N) que nos possibilita determiná-los a menos de extensão de grupos, quando N é uma π -variedade e 3m < 2n +1. Apresentamos alguns resultados sobre o núcleo e a imagem do homomorfismo de "esquecimento" definido nessa sequência exata. Estabelecemos também um relacionamento entre homotopia regular e bordismo normal.
Title in English
Not available
Keywords in English
Not available
Abstract in English
In this thesis wc determine normal bordism groups of a space X with coefficients in an orientable virtual bundle φ, Ωi (X; φ), for i ≤ 3, in terms of homology groups of X modulo a convenient Serre class of abelian groups. We also introduce a normal bordism group which can be seen as a group of maps homotopic to an immersion of m-dimensional closed manifolds into a fixed connected manifold N of dimension n, with m < n. There is an exact sequence involving these groups Jm(N) which allows us to determine them up to a group extension, if we consider N a π -manifold and 3m < 2n + 1. We present some results about the kemel and the image of the forgetfull homomorphism defined in this exact sequence. We also establish a relationship between regular homotopy and normal bordism.
 
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Publishing Date
2018-06-28
 
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