Classification of polynomial functors in manifold calculus, Part I

Paul Arnaud Songhafouo Tsopmene; Donald Stanley

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arXiv · 1903.06301

Classification of polynomial functors in manifold calculus, Part I

Paul Arnaud Songhafouo Tsopmene·Donald Stanley

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Abstract

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 category can be classified be a version of linear functors from O(X(k,M)) to C.

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BibTeX RIS

Paul Arnaud Songhafouo Tsopmene, Donald Stanley. 2019-03-15. Classification of polynomial functors in manifold calculus, Part I. https://arxiv.org/abs/1903.06301

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