A New Method of Proving Brouwer's Classical Theorem

Dr. Claudio Morales

Department of Mathematical Sciences
University of Alabama in Huntsville

November 13, 1998

Abstract

Perhaps you have never heard about one of the most classical theorems in Mathematics, which can be proven in just a two-dimensional Euclidean space, and which requires very sophisticated tools from Algebraic Topology. Nevertheless, we will try to explore a very intuitive and geometrical approach that anyone who claims to love mathematics should be able to understand.