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by mnemonicsloth
5941 days ago
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If the conjecture is true, a cube is topologically equivalent to a sphere No, the cube and sphere are homeomorphic regardless. (Pf: Points on S^3 are unit 4-vectors. Projecting onto the unit cube is continuous and invertible) If the conjecture is true, and if you find yourself on a nice 3-surface, then you can conclude you're on the 3 sphere. |
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