Goodwillie's homotopy functor calculus constructs a Taylor tower of
approximations to F, often a functor from spaces to spaces. Weiss's orthogonal
calculus provides a Taylor tower for functors from vector spaces to spaces. In
particular, there is a Weiss tower associated to the functor which sends a
vector space V to F evaluated at the one-point compactification of V.
In this paper, we give a comparison of these two towers and show that when F
is analytic the towers agree up to weak equivalence. We include two main
applications, one of which gives as a corollary the convergence of the Weiss
Taylor tower of BO. We also lift the homotopy level tower comparison to a
commutative diagram of Quillen functors, relating model categories for
Goodwillie calculus and model categories for the orthogonal calculus.Comment: 28 pages, sequel to Capturing Goodwillie's Derivative,
arXiv:1406.042
