Teoria de obstrução e as classes de Stiefel-Whitney
The main object of study in this work is the characteristic classes of vector bundles, precisely, we consider the Stiefel-Whitney classes. In general, we can interpret these classes as a way to determine the obstruction for the construction of linearly independent sections in a vector bundle. We pre...
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| Tipo de recurso: | tesis de maestría |
| Estado: | Versión publicada |
| Fecha de publicación: | 2020 |
| País: | Brasil |
| Institución: | Universidade Federal da Paraíba (UFPB) |
| Repositorio: | Biblioteca Digital de Teses e Dissertações da UFPB |
| Idioma: | portugués |
| OAI Identifier: | oai:repositorio.ufpb.br:123456789/21477 |
| Acceso en línea: | https://repositorio.ufpb.br/jspui/handle/123456789/21477 |
| Access Level: | acceso abierto |
| Palabra clave: | Cohomologia Fibrados vetoriais Obstrução Classes de Stiefel-Whitney Cohomology Vector bundles Obstruction Stiefel-Whitney classes CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
| Sumario: | The main object of study in this work is the characteristic classes of vector bundles, precisely, we consider the Stiefel-Whitney classes. In general, we can interpret these classes as a way to determine the obstruction for the construction of linearly independent sections in a vector bundle. We present the axiomatic point of view and the de nition using the Obstruction Theory. We conclude by showing that the classes de ned using obstruction theory satisfy the requirements of the axiomatic de nition. |
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