3Blue1Brown - Sneaky Topology | The Borsuk-Ulam theorem and stolen necklaces
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Gromov-Hausdorff distances, Borsuk-Ulam theorems, and Vietoris-Rips Complexes
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The Borsuk-Ulam Theorem is one of those elegant theorem
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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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Peter Math on Instagram: "I used Parrot AI to edit this, link in bio&#…
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Right now, there are two opposite spots on Earth where the temperature and pressure are exactly the same. This mind-bending reality is guaranteed by the Borsuk-Ulam Theorem, a topological law that also solves the complex
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