Timeline for In what rigorous sense are Sperner's Lemma and the Brouwer Fixed Point Theorem equivalent?
Current License: CC BY-SA 3.0
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Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
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Sep 29, 2013 at 3:39 | answer | added | Gil Kalai | timeline score: 7 | |
Sep 29, 2013 at 2:00 | answer | added | Włodzimierz Holsztyński | timeline score: 2 | |
Sep 28, 2013 at 14:07 | history | edited | Ricardo Andrade | CC BY-SA 3.0 |
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Jun 7, 2013 at 0:55 | answer | added | usul | timeline score: 12 | |
May 30, 2013 at 13:06 | vote | accept | James Propp | ||
May 30, 2013 at 13:06 | vote | accept | James Propp | ||
May 30, 2013 at 13:06 | |||||
May 24, 2013 at 14:13 | history | edited | James Propp | CC BY-SA 3.0 |
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May 22, 2013 at 17:40 | history | edited | James Propp | CC BY-SA 3.0 |
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May 22, 2013 at 6:49 | comment | added | Andrej Bauer | In this particular case a general topos would work to show that they are not equivalent. But in general, when discussing equivalence of statements $A$ and $B$, we have to do it in a context where not both of them are provable (or refutable), lest they are "lost in the background theory". The idea is to a fragment of mathematics that is just strong enough to express the statements. See François's answer, where he identifies the relevant weak logical setting for Spenne'r Lemma and Brouwer's fixed point theorem. | |
May 22, 2013 at 5:40 | history | edited | François G. Dorais |
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May 22, 2013 at 5:37 | answer | added | François G. Dorais | timeline score: 49 | |
May 22, 2013 at 5:08 | history | asked | James Propp | CC BY-SA 3.0 |