Calculus of functors and model categories II

Abstract

This is a continuation, completion, and generalization of our previous joint work with B. Chorny. We supply model structures and Quillen equivalences underlying Goodwillie's constructions on the homotopy level for functors between simplicial model categories satisfying mild hypotheses.

47 pages. Version 3 contains a new introduction and further small changes, based on suggestions of the referee. To appear in "Algebraic and Geometric Topology"

References in corpus (8)

• Calculus III: Taylor Series
• Limits of small functors
• Goodwillie towers and chromatic homotopy: an overview
• Duality and Pro-Spectra
• Calculus of functors and model categories
• Model Categories for Orthogonal Calculus
• Homotopy theory of small diagrams over large categories
• A streamlined proof of Goodwillie's n-excisive approximation

Cited by in corpus (15)

• Locally class-presentable and class-accessible categories
• Model Categories for Orthogonal Calculus
• Goodwillie's Calculus of Functors and Higher Topos Theory
• Homotopy nilpotent groups
• Homotopy theory of small diagrams over large categories
• Homotopy theory of G-diagrams and equivariant excision
• Equivariant calculus of functors and Z/2-analyticity of real K-theory
• Duality and small functors
• A Torus Theorem for homotopy nilpotent groups
• Comparing the orthogonal and homotopy functor calculi
• Capturing Goodwillie's Derivative
• A classification of small linear functors
• A variant of a Dwyer-Kan theorem for model categories
• Cofibrantly generated model structures for functor calculus
• The localization of orthogonal calculus with respect to homology