Kuhn, Nicholas J. Goodwillie towers and chromatic homotopy: an overview. (English) Zbl 1105.55002 Ando, Matthew (ed.) et al., Proceedings of the Nishida Fest conferences on homotopy theory, Kinosaki, Japan, July 28–August 1 2003 and August 4–8, 2003. Dedicated to Gôrô Nishida on the occasion of his 60th birthday. Coventry: Geometry & Topology Publications. Geometry and Topology Monographs 10, 245-279 (2007). Summary: 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.For the entire collection see [Zbl 1104.00015]. Cited in 25 Documents MSC: 55N20 Generalized (extraordinary) homology and cohomology theories in algebraic topology 55P43 Spectra with additional structure (\(E_\infty\), \(A_\infty\), ring spectra, etc.) 55P47 Infinite loop spaces 18G55 Nonabelian homotopical algebra (MSC2010) 55-02 Research exposition (monographs, survey articles) pertaining to algebraic topology Keywords:Goodwillie calculus; model categories; periodic homotopy PDFBibTeX XMLCite \textit{N. J. Kuhn}, Geom. Topol. Monogr. 10, 245--279 (2007; Zbl 1105.55002) Full Text: arXiv