Abstract
The purpose of this project is to introduce the student to the study of knots and links and culminate with the result about the Borromean rings, which says that this link is non-trivial and cannot be constructed with three perfect circles.
graduate at Bacharelado Em Matemática from Universidade Estadual Paulista Júlio de Mesquita Filho (1989), master's at Mathematics from Universidade Estadual de Campinas (1990) and ph.d. at Mathematics from Universidade Estadual de Campinas (1997). Has experience in Mathematics, focusing on Algebric Topology, acting on the following subjects: homotopia, h-espaço, soluções de equações algébricas por radicais, espaço de funções and espaços métricos completos. (Source: Lattes Curriculum)
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The purpose of this project is to introduce the student to the study of knots and links and culminate with the result about the Borromean rings, which says that this link is non-trivial and cannot be constructed with three perfect circles.
O presente projeto tem por objetivo introduzir o aluno no estudo das técnicas básicas da Topologia Algébrica e apresentar uma aplicação significativa, exemplificando o poder de ação dessas técnicas. As técnicas que nos referimos são homotopia, grupo fundamental, espaços trianguláveis e complexos simplificais. Como aplicação desses conceitos e técnicas pretendemos demonstrar o Teorema de c…
In the present project will be studied the fundamental group of a topological space and some applications, like the theorem of Borsuk-Ulam and the Jordan curve theorem. The estimate time to cover the whole project is 22 months.
1 / 1 | Ongoing scholarships in Brazil |
3 / 2 | Completed scholarships in Brazil |
1 / 0 | Completed scholarships abroad |
5 / 3 | All Scholarships |
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