(Infinity,2)-Categories and the Goodwillie Calculus I
Category Theory
2009-05-08 v2 Algebraic Topology
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.
Cite
@article{arxiv.0905.0462,
title = {(Infinity,2)-Categories and the Goodwillie Calculus I},
author = {Jacob Lurie},
journal= {arXiv preprint arXiv:0905.0462},
year = {2009}
}
Comments
182 pages. Added some references