Calculus of functors and model categories II

TL;DR

This paper extends and generalizes previous work by establishing model structures and Quillen equivalences for functors between simplicial model categories, enhancing the theoretical framework of Goodwillie's calculus.

Contribution

It provides new model structures and Quillen equivalences that underpin Goodwillie's calculus on the homotopy level for a broader class of functors.

Findings

Established model structures for functors between simplicial model categories.

Proved Quillen equivalences related to Goodwillie's calculus.

Generalized previous results to more categories and functors.

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.