Timeline for Construction of generalized Eilenberg-MacLane spaces
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| Jul 17, 2023 at 6:35 | comment | added | S. Carnahan♦ | @AndreyRyabichev Sinh's thesis can be found here: pnp.mathematik.uni-stuttgart.de/lexmath/kuenzer/sinh.html | |
| Jul 15, 2023 at 16:38 | comment | added | Andrey Ryabichev | @S.Carnahan it seems that the space $K_\pi(G,q)$ is defined just by the action $\rho$. on the other hand, k-invariants are defined only in situation when $\pi_1$ of base acts on all $\pi_n$ trivially. can you please give a more accurate link for the Sinh theorem? i cannot find it in the book | |
| Sep 16, 2014 at 14:50 | comment | added | Fernando Muro | I'd recommend Baues' obstruction theory book. | |
| Sep 16, 2014 at 14:41 | answer | added | Matthias Wendt | timeline score: 7 | |
| Sep 6, 2014 at 12:17 | comment | added | Xiaoyu Li | Thank you very much. Would you please show me the reference of the theorem of Sinh? | |
| Sep 6, 2014 at 10:16 | comment | added | S. Carnahan♦ | I don't think such a space is uniquely characterized by the data you have given. For example, when $q=2$, the failure of strictness on $\rho_\ast$ is known (by a theorem of Sinh) to require a choice of "K-invariant" in $H^3(\pi,G)$ to specify the space $E$ up to homotopy equivalence. | |
| Sep 6, 2014 at 7:36 | comment | added | Qiaochu Yuan | You need to be careful when you talk about the group of homeomorphisms from an object to itself which is only well-defined up to (weak) homotopy equivalence; $K(G, q)$ is a (weak) homotopy type, not a space. | |
| S Sep 6, 2014 at 7:11 | history | suggested | Joonas Ilmavirta | CC BY-SA 3.0 |
Added tag and polished language.
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| Sep 6, 2014 at 7:05 | review | Suggested edits | |||
| S Sep 6, 2014 at 7:11 | |||||
| Sep 6, 2014 at 6:51 | review | First posts | |||
| Sep 6, 2014 at 7:05 | |||||
| Sep 6, 2014 at 6:48 | history | asked | Xiaoyu Li | CC BY-SA 3.0 |