Algebraic Goodwillie calculus and a cotriple model for the remainder
| dc.creator | Mauer-Oats, Andrew | |
| dc.date | 2002-12-05 | |
| dc.date | 2004-02-12 | |
| dc.date.accessioned | 2026-07-07T04:53:35Z | |
| dc.date.available | 2026-07-07T04:53:35Z | |
| dc.description | We define an ``algebraic'' version of the Goodwillie tower, P_n^alg F(X), that depends only on the behavior of F on coproducts of X. When F is a functor to connected spaces or grouplike H-spaces, the functor P_n^alg F is the base of a fibration whose fiber is the simplicial space associated to a cotriple built from the (n+1) cross effect of the functor F. When the connectivity of X is large enough (for example, when F is the identity functor and X is connected), the algebraic Goodwillie tower agrees with the ordinary (topological) Goodwillie tower, so this theory gives a way of studying the Goodwillie approximation to a functor F in many interesting cases. | |
| dc.description | 27 pages. Incorporates suggestions of referee, especially: more context in intro, proof that we have a cotriple is clarified, equivariant maps spelled out in detail | |
| dc.identifier | https://arxiv.org/abs/math/0212095 | |
| dc.identifier | http://arxiv.org/abs/math/0212095 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65908 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55P65 | |
| dc.title | Algebraic Goodwillie calculus and a cotriple model for the remainder | |
| dc.type | text |