Timeline for Is this generalization of Borsuk Ulam true? Roots of unity
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| Oct 18, 2017 at 20:16 | vote | accept | Andy | ||
| Oct 18, 2017 at 17:27 | answer | added | Neil Strickland | timeline score: 11 | |
| Oct 17, 2017 at 16:34 | comment | added | Andy | @JoséHdz.Stgo. I'm not sure I understand, the paper considers functions to $R$ and proves that there are 3 points which are like the basis for $R^3$ that have the same value, and the question you quote says that we can take arbitary equilateral triangles (on the sphere?). How does this prove my question? | |
| Oct 17, 2017 at 15:54 | comment | added | José Hdz. Stgo. | I think that your first question can be answered (in the affirmative) by resorting to the first theorem in Shizuo Kakutani's "A proof that there exists a circumscribing cube around any bounded closed convex set in $\mathbb{R}^{3}$" (Annals of Mathematics, Vol. 43, #4, Oct. 1942). You are welcome to take a look at a related question I posed several years ago here: mathoverflow.net/questions/26318/points-on-a-sphere | |
| Oct 17, 2017 at 15:22 | history | edited | Andy | CC BY-SA 3.0 |
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| Oct 17, 2017 at 15:16 | history | edited | Andy | CC BY-SA 3.0 |
added 2 characters in body
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| Oct 17, 2017 at 15:16 | comment | added | Andy | @IgorRivin Yes, I'll update. | |
| Oct 17, 2017 at 15:14 | comment | added | Igor Rivin | Does "big circle" means "great circle"? | |
| Oct 17, 2017 at 14:59 | review | First posts | |||
| Oct 17, 2017 at 15:11 | |||||
| Oct 17, 2017 at 14:54 | history | asked | Andy | CC BY-SA 3.0 |