Very good homogeneous functors in manifold calculus

Abstract

Let $M$ be a smooth manifold, and let $\mathcal {O}(M)$ be the poset of open subsets of $M$. Let $\mathcal{C} $ be a category that has a zero object and all small limits. A homogeneous functor (in the sense of manifold calculus) of degree $k$ from $\mathc