Timeline for good covers and simplicial maps
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 4, 2017 at 21:50 | comment | added | Dan Ramras | @Denis-CharlesCisinski Is there a reference for the sort of result mentioned in your comment? I've found that I need something of this sort in a project I'm working on. | |
| Mar 20, 2012 at 12:46 | comment | added | Ulrich Pennig | @Fernando: No problem. Maybe there is some variant of the simplicial approximation theorem that works in this case, but the only thing I can find is the work by Jardine, who only works with simplicial sets. | |
| Mar 20, 2012 at 11:28 | comment | added | Fernando Muro | @Ulrich: Sorry, I took simplicial complex for simplicial space. | |
| Mar 19, 2012 at 23:12 | comment | added | D.-C. Cisinski | The property stated above is not correct (as suggests the link). What is true is that, there exists another good cover $U'$ of $X$ and a morphism of simplicial spaces $U'_\bullet\to Z_\bullet$ whose realization is homotopic to $f$ under the weak homotopy equivalences $|U_\bullet|\sim X\sim |U'_\bullet|$. | |
| Mar 19, 2012 at 21:44 | comment | added | Ulrich Pennig | sorry for the broken link. I meant: mathoverflow.net/questions/90480/… | |
| Mar 19, 2012 at 21:04 | comment | added | Ulrich Pennig | But isn't the simplicial approximation theorem (at least as I know it) a statement about simplicial complexes and not about simplicial spaces? See also <a href="mathoverflow.net/questions/90480/…> question. | |
| Mar 19, 2012 at 20:54 | comment | added | Fernando Muro | This is an easy corollary of the well-known simplicial approximation theorem. | |
| Mar 19, 2012 at 20:31 | history | asked | Ulrich Pennig | CC BY-SA 3.0 |