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Master's Dissertation
DOI
https://doi.org/10.11606/D.45.2018.tde-12112018-165321
Document
Author
Full name
Marcelo Barbosa Viana
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2018
Supervisor
Committee
Struchiner, Ivan (President)
Ferreira, Carlos Henrique Grossi
Frejlich, Pedro Walmsley
Title in Portuguese
Complexos simpliciais finitos e o teorema de Euler
Keywords in Portuguese
Cauchy
Euler
Homologia
Poliedro
Simplexos
Topologia
Abstract in Portuguese
Neste trabalho iremos apresentar uma releitura de um resultado clássico da topologia, na visão da topologia algébrica e em sua notação atual. A demonstração deste, apresentada por Cauchy (1813), é comentada de maneira crítica em Lima (1985a) e para esta apresentação destacaremos as definições, teoremas e entes básicos para o seu entendimento.
Title in English
Finite simplicial complexes and the Euler theorem
Keywords in English
Cauchy
Euler
Homology
Polyhedron
Simplices
Topology
Abstract in English
In this work we will present a rereading of a classic topology result, in the view of the algebraic topology in its current notation. The proof of this, presented by Cauchy (1813), is critically commented on Lima (1985a) for which we will present the definitions, theorems, basic entities for their understanding.
 
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Publishing Date
2018-12-10
 
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