Timeline for Is the $E_\infty$-structure on the cochain complex of a $K(G,n)$ readily understandable?
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Sep 22, 2017 at 5:57 | comment | added | Denis Nardin | @54321user It's just an easy consequence of the Dold-Kan correspondence. In particular, the homotopy groups of a simplicial abelian group are the homology groups of the associated complex (see C. Weibel, An introduction to homological algebra exercise 8.4.4). | |
Sep 21, 2017 at 20:29 | comment | added | 54321user | @DenisNardin Do you have a reference for this? | |
Sep 21, 2017 at 20:23 | vote | accept | 54321user | ||
Sep 21, 2017 at 17:50 | comment | added | Denis Nardin | There is a very explicit simplicial model of $K(G,n)$ by taking $G\otimes \bar{\mathbb{Z}}[S^n]$ (and taking $S^n=\Delta^n/\partial \Delta^n$) | |
Sep 21, 2017 at 17:46 | history | answered | Tyler Lawson | CC BY-SA 3.0 |