Brouwer's fixed point theorem (abstract only)

Abstract

"Brouwer's Fixed Point Theorem" was named after the Dutch mathematician "L. E. J. Brouwer". This theorem states that for every continuous function "f" mapped onto itself at a given interval, has at least one fixed point such that "f(x0) = x0". The proof of this theorem uses what is called "Sperner's Lemma" (by Emanuel Sperner), which would be the one focused on inorder to help understand "Brouwer's Fixed Point Theorem".