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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

O teorema fundamental da álgebra via teoria de homotopia / The fundamental theorem of algebra through homotopy theory

Marques, João Damasceno de Oliveira [UNESP] 20 December 2016 (has links)
Submitted by JOÃO DAMASCENO DE OLIVEIRA MARQUES null (damascenomarques@ifma.edu.br) on 2017-01-05T00:21:04Z No. of bitstreams: 1 dissertacao_TFA.pdf: 664238 bytes, checksum: d5c4c0d2b31fcd154bf225146e1c3eeb (MD5) / Approved for entry into archive by Juliano Benedito Ferreira (julianoferreira@reitoria.unesp.br) on 2017-01-06T16:46:10Z (GMT) No. of bitstreams: 1 marques_jo_me_rcla.pdf: 664238 bytes, checksum: d5c4c0d2b31fcd154bf225146e1c3eeb (MD5) / Made available in DSpace on 2017-01-06T16:46:10Z (GMT). No. of bitstreams: 1 marques_jo_me_rcla.pdf: 664238 bytes, checksum: d5c4c0d2b31fcd154bf225146e1c3eeb (MD5) Previous issue date: 2016-12-20 / O objetivo principal deste trabalho é a demonstração do Teorema Fundamental da Álgebra por meio da Teoria de Homotopia. Esta teoria é uma das mais importantes da Topologia Algébrica. Para um melhor entendimento do tema faz-se uma retomada de algumas definições de Topologia Geral, em seguida estuda-se tópicos de homotopia e também o tema a eles relacionado, denominado Grupo Fundamental. De posse destas ideias demonstra-se o Teorema Fundamental da Álgebra. O texto tem como principal referência o livro [5]. / The main objective of this work is the proof of the Fundamental Theorem of Algebra through the Homotopy Theory. This theory is one of the most important in Algebraic Topology. For a better understanding of the subject one recalls some definitions of General Topology, next it is studied homotopy topics and also a related subject, namely Fundamental Group. Making use of these concepts the proof of Fundamental Theorem of Algebra is shown. The main reference for the text is the book [5].

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