On realizing diagrams of Pi-algebras
| dc.creator | Blanc, David | |
| dc.creator | Johnson, Mark W | |
| dc.creator | Turner, James M | |
| dc.date | 2006-04-07 | |
| dc.date | 2009-04-03 | |
| dc.date.accessioned | 2026-07-07T12:59:45Z | |
| dc.date.available | 2026-07-07T12:59:45Z | |
| dc.description | Given a diagram of Pi-algebras (graded groups equipped with an action of the primary homotopy operations), we ask whether it can be realized as the homotopy groups of a diagram of spaces. The answer given here is in the form of an obstruction theory, of somewhat wider application, formulated in terms of generalized Pi-algebras. This extends a program begun in [J. Pure Appl. Alg. 103 (1995) 167-188] and [Topology 43 (2004) 857-892] to study the realization of a single Pi-algebra. In particular, we explicitly analyze the simple case of a single map, and provide a detailed example, illustrating the connections to higher homotopy operations. | |
| dc.description | This is the version published by Algebraic & Geometric Topology on 21 June 2006 | |
| dc.identifier | https://arxiv.org/abs/math/0604161 | |
| dc.identifier | http://arxiv.org/abs/math/0604161 | |
| dc.identifier | Algebr. Geom. Topol. 6 (2006) 763-807 | |
| dc.identifier | doi:10.2140/agt.2006.6.763 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225666 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Category Theory | |
| dc.subject | 18G55, 55P65, 55Q05 | |
| dc.title | On realizing diagrams of Pi-algebras | |
| dc.type | text |