Bocksteins and the nilpotent filtration on the cohomology of spaces
| dc.creator | Gaudens, Gerald | |
| dc.date | 2009-03-27 | |
| dc.date.accessioned | 2026-07-07T12:57:36Z | |
| dc.date.available | 2026-07-07T12:57:36Z | |
| dc.description | N Kuhn has given several conjectures on the special features satisfied by the singular cohomology of topological spaces with coefficients in a finite prime field, as modules over the Steenrod algebra. The so-called realization conjecture was solved in special cases in [Ann. of Math. 141 (1995) 321-347] and in complete generality by L Schwartz [Invent. Math. 134 (1998) 211-227]. The more general strong realization conjecture has been settled at the prime 2, as a consequence of the work of L Schwartz [Algebr. Geom. Topol. 1 (2001) 519-548] and the subsequent work of F-X Dehon and the author [Algebr. Geom. Topol. 3 (2003) 399-433]. We are here interested in the even more general unbounded strong realization conjecture. We prove that it holds at the prime 2 for the class of spaces whose cohomology has a trivial Bockstein action in high degrees. | |
| dc.description | This is the version published by Geometry & Topology Monographs on 14 November 2007 | |
| dc.identifier | https://arxiv.org/abs/0903.4909 | |
| dc.identifier | http://arxiv.org/abs/0903.4909 | |
| dc.identifier | Geom. Topol. Monogr. 11 (2007) 59-79 | |
| dc.identifier | doi:10.2140/gtm.2007.11.59 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224986 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55S10, 55T20, 57T35 | |
| dc.title | Bocksteins and the nilpotent filtration on the cohomology of spaces | |
| dc.type | text |