Classification of homogeneous functors in manifold calculus

Paul Arnaud Songhafouo Tsopmene; Donald Stanley

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arXiv · 1807.06120

Classification of homogeneous functors in manifold calculus

Paul Arnaud Songhafouo Tsopmene·Donald Stanley

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Abstract

For any object A in a simplicial model category M, we construct a topological space \^A 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.

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Paul Arnaud Songhafouo Tsopmene, Donald Stanley. 2018-07-16. Classification of homogeneous functors in manifold calculus. https://arxiv.org/abs/1807.06120

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