A closed model structure for $n$-categories, internal $Hom$, $n$-stacks and generalized Seifert-Van Kampen
| dc.creator | Simpson, Carlos | |
| dc.date | 1997-04-10 | |
| dc.date | 2000-03-17 | |
| dc.date.accessioned | 2026-07-07T09:01:51Z | |
| dc.date.available | 2026-07-07T09:01:51Z | |
| dc.description | We define a closed model category containing the $n$-nerves defined by Tamsamani, and admitting internal $Hom$. This allows us to construct the $n+1$-category $nCAT$ by taking the internal $Hom$ for fibrant objects. We prove a generalized Seifert-Van Kampen theorem for Tamsamani's Poincaré $n$-groupoid of a topological space. We give a still-speculative discussion of $n$-stacks, and similarly of comparison with other possible definitions of $n$-category. | |
| dc.description | Corrects an error in the proof of Theorem 5.1, by rewriting locally. Doesn't change the rest of the text, so numerous expositional problems are left untouched | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9704006 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9704006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148421 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Quantum Algebra | |
| dc.title | A closed model structure for $n$-categories, internal $Hom$, $n$-stacks and generalized Seifert-Van Kampen | |
| dc.type | text |