Timeline for Which maps of simplicial sets geometrically realize to fibrations?
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 14, 2019 at 19:08 | comment | added | Mike Shulman | Thanks! Could you add precise statements of those results to the answer? | |
| Jan 14, 2019 at 18:14 | comment | added | John Rognes | See Sections 2.1 and 2.6 of the same book for what happens when the spaces are not compact. Simple maps are then characterized as hereditary weak equivalences (Theorem 2.1.7, due to Lacher), and maps that are locally trivial up to simple maps are Serre fibrations (Prop. 2.6.7). | |
| Jan 14, 2019 at 17:59 | comment | added | Mike Shulman | Thanks! That's interesting, but the restriction to finite simplicial sets and nonsingular bases is pretty drastic compared to what I'm hoping for. | |
| Jan 14, 2019 at 17:40 | history | answered | John Rognes | CC BY-SA 4.0 |