Timeline for Tangent space, metrics etc. on simplicial sets
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 21, 2013 at 10:21 | comment | added | Jakob | OK, thanks. How exactly would this go? (Sure, the resulting tangent space/cone/"bundle" will be huge in any case...) | |
| Feb 21, 2013 at 4:56 | comment | added | S. Carnahan♦ | You can define tangent cones using geometric realization, but for $B\mathbf{Z}$ you'll get something infinite dimensional. | |
| Feb 20, 2013 at 15:16 | comment | added | Jakob | Yes, but I am looking for an answer not just for BG. Of course, in general the "tangent space" things will probably fail to be meaningful, but I just want a general definition that depends directly on the simplicial set $M$, not its homotopy type. | |
| Feb 20, 2013 at 14:57 | comment | added | Konrad Voelkel | Some people use the notation BG for just the homotopy type of the thing you mention. One version to ask your question would be: Is there always a space with the homotopy type of BG such that one can define a sensible tangent space (with metrics)? | |
| Feb 20, 2013 at 13:43 | history | asked | Jakob | CC BY-SA 3.0 |