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Master's Dissertation
DOI
Document
Author
Full name
Leandro Vicente Mauri
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2019
Supervisor
Committee
Manzoli Neto, Oziride (President)
Libardi, Alice Kimie Miwa
Melo, Thiago de
Pergher, Pedro Luiz Queiroz
Title in Portuguese
Sobre métodos topológicos em combinatória e geometria
Keywords in Portuguese
Conjectura de Kneser
Join de espaços.
Métodos topológicos em combinatória e geometria
Teorema de Van-Kampen-Flores generalizado
Teorema Topológico de Tveberg
Abstract in Portuguese
O objetivo geral deste trabalho consiste na abordagem de resultados em combinatória e geometria discreta, os quais podem ser obtidos como aplicações da Topologia Algébrica, dentre eles, a conjectura de Kneser (Teorema de Lovász-Kneser), o Teorema de Van Kampen-Flores e generalizações destes resultados entre outros. O objetivo principal do trabalho consiste em desenvolver um estudo detalhado de métodos topológicos em combinatória e geometria visando a demonstração destes importantes resultados.
Title in English
On topological methods in combinatorics and geometry
Keywords in English
Generalized Van-Kampen-Flores Theorem
Join spaces.
Knesers conjecture
Topological methods in combinatorics and geometry
Topological Tveberg Theorem
Abstract in English
The general objective of this work consists in the approach of the results in combinatorics and discrete geometry, which can be proved as an of the Algebraic Topology, among them, the Knesers conjecture (Lovász-Kneser Theorem), Van-Kampen- Flores Theorem and their generalizations, and others. The main objective is to develop a detailed study of topological methods in combinatorics and geometry to prove these important results.
 
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Publishing Date
2019-10-15
 
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