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Jan 22, 2022 at 23:46 comment added Alp Uzman The sock in question seems to be made of a vowen fabric; this suggests that the controversy is also a good introduction to persistent homology.
Jan 20, 2022 at 13:59 history edited Ethan Bolker CC BY-SA 4.0
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Jan 20, 2022 at 1:32 comment added Ethan Bolker @AndréArmatowski Nice observation. See my edit.
Jan 20, 2022 at 1:32 history edited Ethan Bolker CC BY-SA 4.0
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Jan 20, 2022 at 0:59 comment added user649348 I do not quite get the second reasoning. I thought that a sphere without two points would still only have one hole since $S^{2}\setminus\{pt\}$ is homemorphic to $\mathbb{R^{2}}$.
Jan 20, 2022 at 0:50 history answered Ethan Bolker CC BY-SA 4.0