Anick's fibration and the odd primary homotopy exponent of spheres
| dc.creator | Theriault, Stephen | |
| dc.date | 2008-03-21 | |
| dc.date.accessioned | 2026-07-07T09:27:55Z | |
| dc.date.available | 2026-07-07T09:27:55Z | |
| dc.description | For primes p>=3, Cohen, Moore, and Neisendorfer showed that the exponent of the p-torsion in the homotopy groups of S^2n+1 is p^n. This was obtained as a consequence of a thorough analysis of the homotopy theory of Moore spaces. Anick further developed this for p>=5 by constructing a homotopy fibration S^2n-1 --> T^2n+1(p^r) --> Loop S^2n+1 whose connecting map is degree p^r on the bottom cell. A much simpler construction of such a fibration for p>=3 was given by Gray and the author using new methods. In this paper the new methods are used to start over, first constructing Anick's fibration for p>=3, and then using it to obtain the exponent result for spheres. | |
| dc.description | 25 pages | |
| dc.identifier | https://arxiv.org/abs/0803.3205 | |
| dc.identifier | http://arxiv.org/abs/0803.3205 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157275 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55Q40; 55R05; 55P99 | |
| dc.title | Anick's fibration and the odd primary homotopy exponent of spheres | |
| dc.type | text |