A chain rule for Goodwillie derivatives of functors from spectra to spectra
| dc.creator | Ching, Michael | |
| dc.date | 2007-10-30 | |
| dc.date | 2008-03-23 | |
| dc.date.accessioned | 2026-07-07T09:27:45Z | |
| dc.date.available | 2026-07-07T09:27:45Z | |
| dc.description | We prove a chain rule for the Goodwillie calculus of functors from spectra to spectra. We show that the (higher) derivatives of a composite functor $FG$ at a base object $X$ are given by taking the composition product (in the sense of symmetric sequences) of the derivatives of $F$ at $G(X)$ with the derivatives of $G$ at $X$. We also consider the question of finding $P_n(FG)$, and give an explicit formula for this when $F$ is homogeneous. | |
| dc.description | 29 pages, LaTeX; considerably expanded section 6 to provide a correct proof of 6.1, other sections rewritten to improve exposition but no major changes; submitted for publication | |
| dc.identifier | https://arxiv.org/abs/0710.5567 | |
| dc.identifier | http://arxiv.org/abs/0710.5567 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157218 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55P42; 55P65 | |
| dc.title | A chain rule for Goodwillie derivatives of functors from spectra to spectra | |
| dc.type | text |