Homotopy types of strict 3-groupoids
| dc.creator | Simpson, Carlos | |
| dc.date | 1998-10-09 | |
| dc.date.accessioned | 2026-07-07T05:26:22Z | |
| dc.date.available | 2026-07-07T05:26:22Z | |
| dc.description | We look at strict $n$-groupoids and show that if $\Re$ is any realization functor from the category of strict $n$-groupoids to the category of spaces satisfying a minimal property of compatibility with homotopy groups, then there is no strict $n$-groupoid $G$ such that $\Re (G)$ is the $n$-type of $S^2$ (for $n\geq 3$). At the end we speculate on how one might fix this problem by introducing a notion of ``snucategory'', a strictly associative $n$-category with only weak units. | |
| dc.identifier | https://arxiv.org/abs/math/9810059 | |
| dc.identifier | http://arxiv.org/abs/math/9810059 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77529 | |
| dc.subject | Category Theory | |
| dc.subject | Algebraic Topology | |
| dc.subject | Quantum Algebra | |
| dc.title | Homotopy types of strict 3-groupoids | |
| dc.type | text |