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The homology of a fibration
Full text
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| Author(s): |
Pablo Gonzalez Pagotto
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | São José do Rio Preto. 2016-09-30. |
| Institution: | Universidade Estadual Paulista (Unesp). Instituto de Biociências Letras e Ciências Exatas. São José do Rio Preto |
| Defense date: | 2016-08-30 |
| Advisor: | Alice Kimie Miwa Libardi |
| Abstract | |
The main goal of this work is to present a study on Homology of Fibre Spaces, based on the book of G.W. Whitehead: ``Elements of Homotopy Theory''. The concept of fibration appeared around 1930 and can be seen as an extension of the theory of bundles. There is a long exact sequence that relates the homotopy groups of the total, base and fiber spaces of a fibration. However, relating the homology groups of such spaces is more complicated. The general case is obtained using spectral sequences. Nevertheless there are particular cases where one can obtain such relations without the need of the machinery of spectral sequences. (AU) | |
| FAPESP's process: | 13/22249-0 - A Classification Theorem for Fibre Spaces |
| Grantee: | Pablo Gonzalez Pagotto |
| Support Opportunities: | Scholarships in Brazil - Master |