(Infinity,2)-Categories and the Goodwillie Calculus I

Abstract

The bulk of this paper is devoted to the comparison of several models for the theory of (infinity,2)-categories: that is, higher categories in which all k-morphisms are invertible for k > 2 (the case of (infinity,n)-categories is also considered). Our ultimate goal is to lay the foundations for a study of Tom Goodwillie's calculus of functors. To this end, we have included some simple applications to the theory of first derivatives.

182 pages. Added some references

References in corpus (2)

• Algebras and modules in monoidal model categories
• Rigidification of algebras over multi-sorted theories

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