`Double modules', double categories and groupoids, and a new homotopical double groupoid
| dc.creator | Brown, Ronald | |
| dc.date | 2009-03-15 | |
| dc.date | 2009-03-21 | |
| dc.date.accessioned | 2026-07-07T12:54:31Z | |
| dc.date.available | 2026-07-07T12:54:31Z | |
| dc.description | We give a rather general construction of double categories and so, under further conditions, double groupoids, from a structure we call a `double module'. We also give a homotopical construction of a double groupoid from a triad consisting of a space, two subspaces, and a set of base points, under a condition which also implies that this double groupoid contains two second relative homotopy groups. | |
| dc.description | 7 pages, 1 figure, QED.sty v.2 This version explains and proves the relation of the homotopy double groupoid with two second relative homotopy groups. Also extra references added | |
| dc.identifier | https://arxiv.org/abs/0903.2627 | |
| dc.identifier | http://arxiv.org/abs/0903.2627 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223961 | |
| dc.subject | Category Theory | |
| dc.subject | Algebraic Topology | |
| dc.subject | 18B40; 18D05; 55E30 | |
| dc.title | `Double modules', double categories and groupoids, and a new homotopical double groupoid | |
| dc.type | text |