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arXiv · 2312.17632

Presentations of configuration categories

Pedro Boavida de Brito·Michael S. Weiss
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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.

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Pedro Boavida de Brito, Michael S. Weiss. 2023-12-29. Presentations of configuration categories. https://arxiv.org/abs/2312.17632

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