A general context for Goodwillie Calculus

Abstract

The objective of this paper is to provide a fairly general model category context in which one can perform Goodwille Calculus. There are two main parts to the paper, the first establishing general conditions which guarantee the existence of universal $n$-excisive approximations, and a second providing conditions for which the layers of the Goodwillie tower can be appropriately factored through the spectra categories.

References in corpus (8)

• Higher Topos Theory
• Algebras and modules in monoidal model categories
• Operads, homotopy algebra and iterated integrals for double loop spaces
• Homology and Cohomology of E-infinity Ring Spectra
• Simplicial structures on model categories and functors
• Goodwillie towers and chromatic homotopy: an overview
• Koszul duality of E_n-operads
• On the Dreaded Right Bousfield Localization

Cited by in corpus (7)

• Homotopical resolutions associated to deformable adjunctions
• Capturing Goodwillie's Derivative
• A classification of small linear functors
• A variant of a Dwyer-Kan theorem for model categories
• Goodwillie tower of the norm functor
• Stabilization and costabilization with respect to an action of a monoidal category
• On the chromatic localization of the homotopy completion tower for $\mathcal{O}$-algebras