Classification of homogeneous functors in manifold calculus

Abstract

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 extends a classification result of Weiss for homogeneous functors into topological spaces.

35 pages, 1 figure. We improved the exposition in the whole paper. We modified the construction of the classifying space  and changed several proofs accordingly