Goodwillie towers and chromatic homotopy: an overview

Details Goodwillie towers and chromatic homotopy: an overview Goodwillie towers and chromatic homotopy: an overview

2004-10-14

arxiv.org/abs/math/0410342v2

Geom. Topol. Monogr. 10 (2007) 245-279

Mathematics

Algebraic Topology

This is the version published by Geometry & Topology Monographs on 29 January 2007

Scientific paper

10.2140/gtm.2007.10.245

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.

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