Presentations of configuration categories
Algebraic Topology
2024-01-02 v2
Abstract
The configuration category of a manifold is a topological category which we view as a Segal space, via the nerve construction. Our main result is that the unordered configuration category, suitably truncated, admits a finite presentation as a complete Segal space if the manifold in question is the interior of a compact manifold.
Cite
@article{arxiv.2312.17632,
title = {Presentations of configuration categories},
author = {Pedro Boavida de Brito and Michael S. Weiss},
journal= {arXiv preprint arXiv:2312.17632},
year = {2024}
}
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15 pages