The site R^+_G for a profinite group G
| dc.creator | Davis, Daniel G. | |
| dc.date | 2006-10-26 | |
| dc.date.accessioned | 2026-07-07T07:29:26Z | |
| dc.date.available | 2026-07-07T07:29:26Z | |
| dc.description | Let G be a non-finite profinite group and let G-Sets_{df} be the canonical site of finite discrete G-sets. Then the category R^+_G, defined by Devinatz and Hopkins, is the category obtained by considering G-Sets_{df} together with the profinite G-space G itself, with morphisms being continuous G-equivariant maps. We show that R^+_G is a site when equipped with the pretopology of epimorphic covers. Also, we explain why the associated topology on R^+_G is not subcanonical, and hence, not canonical. We note that, since R^+_G is a site, there is automatically a model category structure on the category of presheaves of spectra on the site. Finally, we point out that such presheaves of spectra are a nice way of organizing the data that is obtained by taking the homotopy fixed points of a continuous G-spectrum with respect to the open subgroups of G. | |
| dc.description | 14 pages, submitted for publication | |
| dc.identifier | https://arxiv.org/abs/math/0610772 | |
| dc.identifier | http://arxiv.org/abs/math/0610772 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/118110 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Category Theory | |
| dc.subject | 55P42, 55U35, 18B25 | |
| dc.title | The site R^+_G for a profinite group G | |
| dc.type | text |