Timeline for Reference request for statement on nlab: Reedy (co)fibrancy of (co)simplicial objects
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 21, 2023 at 6:47 | comment | added | Urs Schreiber | Nice. Just for the record, I have spelled out this statement and its proof here: ncatlab.org/nlab/show/… | |
| May 21, 2018 at 15:50 | vote | accept | Lukas Woike | ||
| May 20, 2018 at 19:59 | comment | added | Charles Rezk | Or more directly: if $A$ is your additive model category, and $C$ the class of cofibrations in it, let $sA$ be simplicial objects, and $C_R$ the reedy cofibrations. Then under $sA\approx Ch_{\geq0}(A)$, the class $C_R$ is taken exactly to the class of chain maps which are in $C$ in each degree. | |
| May 20, 2018 at 19:45 | comment | added | Charles Rezk | @Faelvirin I guess I really mean the proof of the Dold-Kan correspondence, whch will explicitly provide a retraction to the map $L_nX\to X_n$. | |
| May 20, 2018 at 17:12 | comment | added | Lukas Woike | Thanks a lot for this answer! Can you maybe explain further why the Dold-Kan theorem (you mean the Dold-Kan correspondence?) will prove the claim for an additive category? | |
| May 20, 2018 at 16:04 | history | answered | Charles Rezk | CC BY-SA 4.0 |