Title: A Transparent Proof of the Hairy Ball Theorem
Abstract: Simply put, the Hairy Ball Theorem states that there is always some point on the surface of the Earth without any wind. A typical proof makes use of rather involved mathematical machinery (such as singular homology or Brouwer degree), which the average layman or undergraduate mathematician may not be familiar with. We present Peter McGrath’s “extremely short proof” in an intuitive manner, digestible to the average undergraduate, or the motivated layman.
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