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Presentations of configuration categories
- Publication Year :
- 2023
-
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.<br />Comment: 15 pages
- Subjects :
- Mathematics - Algebraic Topology
57R40 (Primary), 55U40, 55P48 (Secondary)
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2312.17632
- Document Type :
- Working Paper