Timeline for How do facts about the homotopy type of cell complexes shed light on analytic number theory?
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
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| Aug 10, 2012 at 18:45 | comment | added | Frank Thorne | Very cool, thank you. I think (2) has a lot of depth also -- for example Brun's sieve could be interpreted in terms of posets, and gives you good bounds (for example) on the number of twin primes, and good estimates on the number of twin almost-primes. | |
| Aug 7, 2012 at 0:37 | comment | added | Patricia Hersh | Qiaochu: as long as you are talking about a simplicial complex or even a regular CW complex, as in the other MO question, it seems safe to factor through posets, but if you have a nonregular CW complex, then you may lose information at this step -- since two nonhomeomorphic finite CW complexes can have the same closure poset. | |
| Aug 6, 2012 at 23:32 | comment | added | Qiaochu Yuan | @Will: the poset from Björner's paper or $\mathbb{N}$ under divisibility? (The latter is explained in the link, or see also Doubilet, Rota, and Stanley's On the foundations of combinatorial theory IV: the idea of generating function (dedekind.mit.edu/~rstan/pubs/pubfiles/10.pdf)). | |
| Aug 6, 2012 at 23:15 | comment | added | Will Sawin | I don't see how that poset is related to Dirchlet series. | |
| Aug 6, 2012 at 22:41 | history | edited | Qiaochu Yuan | CC BY-SA 3.0 |
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| Aug 6, 2012 at 22:36 | history | edited | Qiaochu Yuan | CC BY-SA 3.0 |
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| Aug 6, 2012 at 22:29 | history | answered | Qiaochu Yuan | CC BY-SA 3.0 |