Goodwillie towers and chromatic homotopy: an overview
arXiv:math/0410342 · doi:10.2140/gtm.2007.10.245
Abstract
This paper is based on talks I gave in Nagoya and Kinosaki in August of 2003. I survey, from my own perspective, Goodwillie's work on towers associated to continuous functors between topological model categories, and then include a discussion of applications to periodic homotopy as in my work and the work of Arone-Mahowald.
This is the version published by Geometry & Topology Monographs on 29 January 2007