（Infinity，2）-范畴与Goodwillie演算I
(Infinity,2)-Categories and the Goodwillie Calculus I
摘要：
本文的主要内容是比较（infinity，2）-范畴理论的几种模型：即所有k-态射对k > 2可逆的高阶范畴（也考虑了（infinity，n）-范畴的情况）。我们的最终目标是奠定基础的研究汤姆古德威利的演算函子。为此，我们已经包括了一阶导数理论的一些简单应用。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
