3 papers
math.AT2019
Classification of polynomial functors in manifold calculus, Part I
Paul Arnaud Songhafouo Tsopmene, Donald Stanley
For a smooth manifold M, we define a topological space X(k,M), and show that polynomial functors O(M)--> C of degree <= k from the poset of open subsets of M to a simplicial model…
math.AT2018
Classification of homogeneous functors in manifold calculus
Paul Arnaud Songhafouo Tsopmene, Donald Stanley
For any object A in a simplicial model category M, we construct a topological space  which classifies homogeneous functors whose value on k open balls is equivalent to A. This ext…
math.AT2017
Very good homogeneous functors in manifold calculus
Paul Arnaud Songhafouo Tsopmene, Donald Stanley
Let M be a smooth manifold, and let O(M) be the poset of open subsets of M. Let C be a category that has a zero object and all small limits. A homogeneous functor (in the sense of…