The E_2-term of the descent spectral sequence for continuous G-spectra
| dc.creator | Davis, Daniel G. | |
| dc.date | 2006-02-21 | |
| dc.date | 2006-08-11 | |
| dc.date.accessioned | 2026-07-07T07:03:40Z | |
| dc.date.available | 2026-07-07T07:03:40Z | |
| dc.description | Let {X_i} be a tower of discrete G-spectra, each of which is fibrant as a spectrum, so that X=holim_i X_i is a continuous G-spectrum, with homotopy fixed point spectrum X^{hG}. The E_2-term of the descent spectral sequence for π_*(X^{hG}) cannot always be expressed as continuous cohomology. However, we show that the E_2-term is always built out of a certain complex of spectra, that, in the context of abelian groups, is used to compute the continuous cochain cohomology of G with coefficients in lim_i M_i, where {M_i} is a tower of discrete G-modules. | |
| dc.description | 8 pages. Main result simplified. Expository Section 3 added. Error in Definition 2.1 is repaired. Same as published version, except for changes required by journal's style file | |
| dc.identifier | https://arxiv.org/abs/math/0602480 | |
| dc.identifier | http://arxiv.org/abs/math/0602480 | |
| dc.identifier | New York J. of Math. 12 (2006), 183-191 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/109062 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55T05 | |
| dc.title | The E_2-term of the descent spectral sequence for continuous G-spectra | |
| dc.type | text |