Simple omega-categories and chain complexes
| dc.creator | Steiner, Richard | |
| dc.date | 2006-08-28 | |
| dc.date | 2007-04-04 | |
| dc.date.accessioned | 2026-07-07T07:54:57Z | |
| dc.date.available | 2026-07-07T07:54:57Z | |
| dc.description | The category of strict omega-categories has an important full subcategory whose objects are the simple omega-categories freely generated by planar trees or by globular cardinals. We give a simple description of this subcategory in terms of chain complexes, and we give a similar description of the opposite category, the category of finite discs, in terms of cochain complexes. Berger has shown that the category of simple omega-categories has a filtration by iterated wreath products of the simplex category. We generalise his result by considering wreath products of categories of chain complexes over the simplex category. | |
| dc.description | 14 pages; v2 has minor corrections and a little additional material | |
| dc.identifier | https://arxiv.org/abs/math/0608680 | |
| dc.identifier | http://arxiv.org/abs/math/0608680 | |
| dc.identifier | Homotopy, Homology and Applications 9(1), 2007, 451-465 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126809 | |
| dc.subject | Category Theory | |
| dc.subject | 18D05 | |
| dc.title | Simple omega-categories and chain complexes | |
| dc.type | text |