n-homogeneous (∞,1)-functor

**Goodwillie calculus** – approximation of homotopy theories by stable homotopy theories

In the context of Goodwillie calculus, an (∞,1)-functor is called *$n$-homogeneous* if it is both n-excisive and n-reduced. (see e.g. Lurie, def. 6.1.2.1).

In the analogy with ordinary analysis, these functors correspond to functions which are homogeneous polynomials, whence the name.

- Jacob Lurie, section 6.1.1 of
*Higher Algebra*