Completions of pro-spaces
| dc.creator | Isaksen, Daniel C. | |
| dc.date | 2004-04-16 | |
| dc.date.accessioned | 2026-07-07T05:07:30Z | |
| dc.date.available | 2026-07-07T05:07:30Z | |
| dc.description | For every ring R, we present a pair of model structures on the category of pro-spaces. In the first, the weak equivalences are detected by cohomology with coefficients in R. In the second, the weak equivalences are detected by cohomology with coefficients in all R-modules (or equivalently by pro-homology with coefficients in R). In the second model structure, fibrant replacement is essentially just the Bousfield-Kan R-tower. When R = Z/p, the first homotopy category is equivalent to a homotopy theory defined by Morel but has some convenient categorical advantages. | |
| dc.identifier | https://arxiv.org/abs/math/0404303 | |
| dc.identifier | http://arxiv.org/abs/math/0404303 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70880 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55P60, 55N10 (Primary); 18G55, 55U35 (Secondary) | |
| dc.title | Completions of pro-spaces | |
| dc.type | text |