Manifold calculus adapted for simplicial complexes

Steffen Tillmann

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arXiv · 1702.05608

Manifold calculus adapted for simplicial complexes

Steffen Tillmann

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Abstract

We develop a generalization of manifold calculus in the sense of Goodwillie-Weiss where the manifold is replaced by a simplicial complex. We consider functors from the category of open subsets of a fixed simplical complex into the category of topological spaces and prove an analogue of the approximation theorem. Namely, under certain conditions such a functor can be approximated by a tower of (appropriately adapted) polynomial functors.

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Steffen Tillmann. 2017-02-18. Manifold calculus adapted for simplicial complexes. https://arxiv.org/abs/1702.05608

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