On the existence of a v_2^32-self map on M(1,4) at the prime 2
| dc.creator | Behrens, Mark | |
| dc.creator | Hill, Michael | |
| dc.creator | Hopkins, Michael J. | |
| dc.creator | Mahowald, Mark | |
| dc.date | 2007-10-29 | |
| dc.date | 2008-08-12 | |
| dc.date.accessioned | 2026-07-07T09:55:46Z | |
| dc.date.available | 2026-07-07T09:55:46Z | |
| dc.description | Let M(1) be the mod 2 Moore spectrum. J.F. Adams proved that M(1) admits a minimal v_1-self map v_1^4: Sigma^8 M(1) -> M(1). Let M(1,4) be the cofiber of this self-map. The purpose of this paper is to prove that M(1,4) admits a minimal v_2-self map of the form v_2^32: Sigma^192 M(1,4) -> M(1,4). The existence of this map implies the existence of many 192-periodic families of elements in the stable homotopy groups of spheres. | |
| dc.description | 31 pages, 16 figures. Revised version: includes new section (section 9)explaining centrality of d_2(v_2^8) and d_3(v_2^16), and fixes an error in section 7 | |
| dc.identifier | https://arxiv.org/abs/0710.5426 | |
| dc.identifier | http://arxiv.org/abs/0710.5426 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/166747 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55Q51; 55Q40 | |
| dc.title | On the existence of a v_2^32-self map on M(1,4) at the prime 2 | |
| dc.type | text |