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Dr. Tanton chose Sperner’s lemma, which is related to the Brouwer fixed-point theorem that both Francis Su and Holly Krieger talked about on their episodes of the podcast.

Dr. Krieger chose the Brouwer fixed-point theorem as her favorite theorem, which means for the first time on the show, we had a theorem repeat!

A well-known result in topology called the Brouwer Fixed-Point Theorem states that any continuous transformation of a surface into itself has at least one fixed point.

A well-known result in topology called the Brouwer Fixed-Point Theorem states that any continuous transformation of a 2-sphere into itself has at least one fixed point.