Chromatic phenomena in the algebra of BP_{*}BP-comodules
| dc.creator | Hovey, Mark | |
| dc.date | 2003-01-21 | |
| dc.date.accessioned | 2026-07-07T04:54:35Z | |
| dc.date.available | 2026-07-07T04:54:35Z | |
| dc.description | This paper begins with an exposition of the author's research on the category of BP_*BP-comodules, much of which is joint with Neil Strickland. The main result of that work is that the category of E(n)_*E(n)-comodules is equivalent to a localization of the category of BP_*BP-comodules (the localization is L_n, analogous to the topological L_n). The main new result in this paper is that, analogously, the stable homotopy category of E(n)_*E(n)-comodules is equivalent to a localization (the finite localization L_n^f this time, not L_n) of the stable homotopy category of BP_*BP-comodules. These stable homotopy categories were constructed in previous work of the author, and are supposed to model stable homotopy theory; it is like stable homotopy theory where there are no differentials in the Adams-Novikov spectral sequence. Our result embeds the Miller-Ravenel and Hovey-Sadofsky change of rings theorems as special cases of more general isomorphisms. | |
| dc.description | 30 pages | |
| dc.identifier | https://arxiv.org/abs/math/0301230 | |
| dc.identifier | http://arxiv.org/abs/math/0301230 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66310 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55N22 | |
| dc.title | Chromatic phenomena in the algebra of BP_{*}BP-comodules | |
| dc.type | text |