  For any object A in a simplicial model category C, we construct a topological
space \^A which classifies linear functors whose value on an open ball is
equivalent to A. More precisely for a manifold M, and O(M) its poset category
of open sets, weak equivalence classes of such functors O(M) ---> C are shown
to be in bijection with homotopy classes of maps [M,\^A]. The result extends to
higher degree homogeneous functors. At the end we explain a connection to a
classification result of Michael Weiss.
