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A synthesis on classical Brouwer theory

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Author(s):
Nelson Orsalino Neto Schuback
Total Authors: 1
Document type: Master's Dissertation
Press: São Paulo.
Institution: Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME/SBI)
Defense date:
Examining board members:
Salvador Addas Zanata; Bráulio Augusto Garcia; Xiaochuan Liu
Advisor: Salvador Addas Zanata
Abstract

In this work we present the fundamentals of Classical Brouwer Theory. We start with the works of L. E. J. Brouwer on translation arcs and the Brouwer translation theo- rem. Next, we explore the notion of maximal free brick decompositions developed by A. Sauzet. Finally, we conclude by presenting a proof of the foliated version of the Brouwer translation theorem, due to P. Le Calvez. (AU)

FAPESP's process: 19/14780-4 - Annulus diffeomorphisms dynamics
Grantee:Nelson Orsalino Neto Schuback
Support Opportunities: Scholarships in Brazil - Master