Manifold calculus adapted for simplicial complexes
Geometric Topology
2017-11-21 v2 Algebraic Topology
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.
Cite
@article{arxiv.1702.05608,
title = {Manifold calculus adapted for simplicial complexes},
author = {Steffen Tillmann},
journal= {arXiv preprint arXiv:1702.05608},
year = {2017}
}
Comments
new introduction and some typos corrected