Timeline for Delooping groupoid
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 26 at 22:32 | comment | added | Pinak Banerjee | Thank you for your comment. | |
| Nov 26 at 20:01 | comment | added | Dmitri Pavlov | @PinakBanerjee: The indexing for n-groups is shifted by 1 compared to groupoids: a ordinary group (i.e., a 1-group) is a 0-truncated ∞-groupoid equipped with a group operation. | |
| Nov 26 at 4:21 | comment | added | Pinak Banerjee | Thanks for the answer. So basically, the shape of B^n U(1) is a (n+1)-groupoid, but it itself can be seen as a n-groupoid. Interesting! Now, if we want monoidal structure on this n-groupoid with objects having inverses, then by delooping hypothesis, it can be turned into a connected, pointed (n+1) category, which we call as (n+1) group, right? I guess the last line of yours should be (n+1) group, not (n+2).Thanks again! | |
| Nov 25 at 19:17 | history | answered | Dmitri Pavlov | CC BY-SA 4.0 |