Limits in $n$-categories
| dc.creator | Simpson, Carlos | |
| dc.date | 1997-08-07 | |
| dc.date.accessioned | 2026-07-07T09:07:22Z | |
| dc.date.available | 2026-07-07T09:07:22Z | |
| dc.description | We define notions of direct and inverse limits in an $n$-category. We prove that the $n+1$-category $nCAT'$ of fibrant $n$-categories admits direct and inverse limits. At the end we speculate (without proofs) on some applications of the notion of limit, including homotopy fiber product and homotopy coproduct for $n$-categories, the notion of $n$-stack, representable functors, and finally on a somewhat different note, a notion of relative Malcev completion of the higher homotopy at a representation of the fundamental group. | |
| dc.description | Approximately 90 pages | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9708010 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9708010 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150347 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Quantum Algebra | |
| dc.title | Limits in $n$-categories | |
| dc.type | text |