COLLEGE OF ARTS AND SCIENCES Department of Mathematics and Statistics

Seminars

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Mathematics Analysis Seminar: Brouwers Fixed Point Theorem: A game based proof

2014-11-19

4:10 pm; Neill 5W

Sharif Ibrahim

Abstract: Brouwers fixed point theorem states that if B is the closed unit ball in R^n and f is a continuous map of B into B, then f has a fixed point x* in B: i.e. there is a point x* in B such that f(x*) = x*. A proof of this theorem based on the game of Hex, will be presented and explained.