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On topological methods in combinatorics and geometry

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Author(s):
Leandro Vicente Mauri
Total Authors: 1
Document type: Master's Dissertation
Press: São Carlos.
Institution: Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB)
Defense date:
Examining board members:
Oziride Manzoli Neto; Alice Kimie Miwa Libardi; Thiago de Melo; Pedro Luiz Queiroz Pergher
Advisor: Denise de Mattos
Abstract

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. (AU)

FAPESP's process: 17/08020-1 - On topological methods in combinatorics and geometry
Grantee:Leandro Vicente Mauri
Support Opportunities: Scholarships in Brazil - Master