On the nonexistence of Smith-Toda complexes
| dc.creator | Nave, Lee S. | |
| dc.date | 1998-10-30 | |
| dc.date.accessioned | 2026-07-07T05:26:40Z | |
| dc.date.available | 2026-07-07T05:26:40Z | |
| dc.description | Let p be a prime. The Smith-Toda complex V(k) is a finite spectrum whose BP-homology is isomorphic to BP_*/(p,v_1,...,v_k). For example, V(-1) is the sphere spectrum and V(0) the mod p Moore spectrum. In this paper we show that if p > 5, then V((p+3)/2) does not exist and V((p+1)/2), if it exists, is not a ring spectrum. The proof uses the new homotopy fixed point spectral sequences of Hopkins and Miller. | |
| dc.description | 10 pages, AMSLateX | |
| dc.identifier | https://arxiv.org/abs/math/9810178 | |
| dc.identifier | http://arxiv.org/abs/math/9810178 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77632 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55N22 (Primary) 55T15, 55P42 (Secondary) | |
| dc.title | On the nonexistence of Smith-Toda complexes | |
| dc.type | text |