Use the Borsuk-Ulam Theorem, in conjunction with Exercise SE 9.... | Filo
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Peter Math on Instagram: "I used Parrot AI to edit this, link in bio👆 The Borsuk-Ulam Theorem is one of those elegant, mind-bending results in topology that sounds simple but has deep implications. It states that for any continuous function mapping points from a sphere to Euclidean space, there will always be at least one pair of opposite points on the sphere that map to the exact same point. In everyday language: no matter how you stretch or transform a sphere (without tearing or cuttin
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