I'm looking for a proof that Brouwer's fixed point theorem implies Sperner's lemma. The proof should be understandable by an undergraduate.
Thanks in advance!
2026-03-28 07:57:04.1774684624
Brouwer's fixed point theorem implies Sperner's lemma
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A simple proof can be found in a paper by Park and Jeong:
A PROOF OF THE SPERNER LEMMA FROM THE BROUWER FIXED POINT THEOREM Nonlinear Analysis Forum 8(1), pp. 65–67, 2003 (available from http://www.na-forum.org/)