Twisted Arrow Construction for Segal Spaces
Abstract
We give an explicit description of the twisted arrow construction for simplicial spaces and demonstrate individually that it preserves the defining properties of a complete Segal space. Moreover, we show that for a Segal space, the natural projection from the twisted arrow Segal space is a left fibration.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2022
- DOI:
- 10.48550/arXiv.2203.01788
- arXiv:
- arXiv:2203.01788
- Bibcode:
- 2022arXiv220301788M
- Keywords:
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- Mathematics - Category Theory;
- Mathematics - Algebraic Topology;
- 18N60;
- 18N40;
- 18N50;
- 18N45
- E-Print:
- Corrected some proofs and typos. 10 Pages. Comments welcome!