Brouwer Fixed Point Theorem - Search Videos

A beautiful combinatorical proof of the Brouwer Fixed Point Theorem - Via Sperner's Lemma

YouTubeDr. Trefor Bazett

A beautiful combinatorical proof of the Brouwer Fixed Point Theorem - Via Sperner's Lemma

Using a simple combinatorical argument, we can prove an important theorem in topology without any sophisticated machinery. Brouwer's Fixed Point Theorem: Every continuous mapping f(p) from between closed balls of the same dimension have a fixed point where f(p)=p. Sperner's Lemma: Every Sperner covering of a triangulation - that is, unique ...

35.6K viewsMar 11, 2018

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