The discrete module category for the ring of K-theory operations
| dc.creator | Clarke, Francis | |
| dc.creator | Crossley, Martin | |
| dc.creator | Whitehouse, Sarah | |
| dc.date | 2006-03-02 | |
| dc.date.accessioned | 2026-07-07T07:06:26Z | |
| dc.date.available | 2026-07-07T07:06:26Z | |
| dc.description | We study the category of discrete modules over the ring of degree zero stable operations in p-local complex K-theory. We show that the p-local K-homology of any space or spectrum is such a module, and that this category is isomorphic to a category defined by Bousfield and used in his work on the K-local stable homotopy category (Amer. J. Math., 1985). We also provide an alternative characterisation of discrete modules as locally finitely generated modules. | |
| dc.description | 19 pages | |
| dc.identifier | https://arxiv.org/abs/math/0603045 | |
| dc.identifier | http://arxiv.org/abs/math/0603045 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110028 | |
| dc.subject | Algebraic Topology | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 55S25; 19L64; 11B65 | |
| dc.title | The discrete module category for the ring of K-theory operations | |
| dc.type | text |