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Some results on vector
bundle monomorphisms
Daciberg L Gonçalves, Alice K M Libardi and Oziride Manzoli Neto |
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Algebraic & Geometric Topology 7 (2007) 829–843
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arXiv: math.AW/0611679 |
Abstract |
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In this paper we use the singularity method of Koschorke [Lecture Notes in Math. 847 (1981)] to study the question of how many different nonstable homotopy classes of monomorphisms of vector bundles lie in a stable class and the percentage of stable monomorphisms which are not homotopic to stabilized nonstable monomorphisms. Particular attention is paid to tangent vector fields. This work complements some results of Koschorke [Lecture Notes in Math. 1350, 1988, Topology Appl. 75 (1997)], Libardi–Rossini [Proc. of the XI Brazil. Top. Meeting 2000] and Libardi–do Nascimento–Rossini [Revesita de Mátematica e Estatística 21 (2003)]. |
Keywords
bordism, normal bordism, stable and nonstable monomorphisms
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Mathematical Subject Classification 2000
Primary: 57R90
Secondary: 57R25
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References |
Publication
Received: 13 November 2006
Revised: 23 March 2007
Accepted: 28 March 2007
Published: 20 June 2007
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Authors |
| Daciberg L Gonçalves | |
| Departamento de Matemática IME – Universidade de São Paulo Caixa Postal 66281–Agê ncia Cidade de São Paulo 05311–970 São Paulo–SP Brazil |
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| Alice K M Libardi | |
| Departamento de Matemática IGCE – Universidade Estadual Paulista Júlio de Mesquita Filho Av. 24A, 1515 13506–700 Rio Claro – SP Brazil |
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| Oziride Manzoli Neto | |
| Departamento de Matemática ICMC – Universidade de São Paulo Av. Trabalhador Sãocarlense, 400 – Caixa Postal 668 13560–970 São Carlos – SP Brazil |
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