Rognes's theory of Galois extensions and the continuous action of G_n on E_n
| dc.creator | Davis, Daniel G. | |
| dc.date | 2006-11-30 | |
| dc.date.accessioned | 2026-07-07T07:33:32Z | |
| dc.date.available | 2026-07-07T07:33:32Z | |
| dc.description | Let us take for granted that L_{K(n)}S^0 --> E_n is some kind of a G_n-Galois extension. Of course, this is in the setting of continuous G_n-spectra. How much structure does this continuous G-Galois extension have? How much structure does one want to build into this notion to obtain useful conclusions? If the author's conjecture that ``E_n/I, for a cofinal collection of I's, is a discrete G_n-symmetric ring spectrum" is true, what additional structure does this give the continuous G_n-Galois extension? Is it useful or merely beautiful? This paper is an exploration of how to answer these questions. This preprint arose as a letter to John Rognes, whom he thanks for a helpful conversation in Rosendal. This paper was written before John's preprints (the initial version and the final one) on Galois extensions were available. | |
| dc.description | date of last revision of preprint: 5/14/04; 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0611943 | |
| dc.identifier | http://arxiv.org/abs/math/0611943 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119486 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55P42; 55P43 | |
| dc.title | Rognes's theory of Galois extensions and the continuous action of G_n on E_n | |
| dc.type | text |