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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

A homologia de uma fibração / The homology of a fibration

Pagotto, Pablo Gonzalez [UNESP] 30 August 2016 (has links)
Submitted by Pablo Gonzalez Pagotto null (pgp_2008@hotmail.com) on 2016-09-28T16:16:44Z No. of bitstreams: 1 final.pdf: 1327249 bytes, checksum: 26bc65e3566fd3813a93f271a02744c1 (MD5) / Approved for entry into archive by Ana Paula Grisoto (grisotoana@reitoria.unesp.br) on 2016-09-30T14:43:09Z (GMT) No. of bitstreams: 1 pagotto_pg_me_sjrp.pdf: 1327249 bytes, checksum: 26bc65e3566fd3813a93f271a02744c1 (MD5) / Made available in DSpace on 2016-09-30T14:43:09Z (GMT). No. of bitstreams: 1 pagotto_pg_me_sjrp.pdf: 1327249 bytes, checksum: 26bc65e3566fd3813a93f271a02744c1 (MD5) Previous issue date: 2016-08-30 / Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) / O objetivo principal deste trabalho é apresentar um estudo sobre Homologia de Espaços Fibrados, baseado no livro Elements of Homotopy Theory de G.W.Whitehead. O conceito de fibração apareceu em torno de 1930 e pode ser visto como uma extensão da teoria de fibrados. Existe uma sequência exata longa que relaciona os grupos de homotopia dos espaços base, total e da fibra de uma fibração. Porém, relacionar os grupos de homologia desses espaços é uma tarefa mais complicada. O caso geral é feito utilizando sequências espectrais. Porém, há casos particulares em que podemos obter relações sem utilizar a maquinaria das sequências espectrais. / 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. / FAPESP: 2013/22249-0

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