Determination of the multiplicative nilpotency of self-homotopy sets
| dc.creator | Maruyama, Ken-ichi | |
| dc.date | 2009-03-26 | |
| dc.date.accessioned | 2026-07-07T12:57:05Z | |
| dc.date.available | 2026-07-07T12:57:05Z | |
| dc.description | The semigroup of the homotopy classes of the self-homotopy maps of a finite complex which induce the trivial homomorphism on homotopy groups is nilpotent. We determine the nilpotency of these semigroups of compact Lie groups and finite Hopf spaces of rank 2. We also study the nilpotency of semigroups for Lie groups of higher rank. Especially, we give Lie groups with the nilpotency of the semigroups arbitrarily large. | |
| dc.description | This is the version published by Geometry & Topology Monographs on 29 January 2007 | |
| dc.identifier | https://arxiv.org/abs/0903.4607 | |
| dc.identifier | http://arxiv.org/abs/0903.4607 | |
| dc.identifier | Geom. Topol. Monogr. 10 (2007) 281-292 | |
| dc.identifier | doi:10.2140/gtm.2007.10.281 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224807 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55P10, 55Q05, 57T20, 20D15, 55P60 | |
| dc.title | Determination of the multiplicative nilpotency of self-homotopy sets | |
| dc.type | text |