English

Twisted Arrow Construction for Segal Spaces

Category Theory 2023-06-21 v2 Algebraic Topology

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.

Cite

@article{arxiv.2203.01788,
  title  = {Twisted Arrow Construction for Segal Spaces},
  author = {Chirantan Mukherjee and Nima Rasekh},
  journal= {arXiv preprint arXiv:2203.01788},
  year   = {2023}
}

Comments

Corrected some proofs and typos. 10 Pages. Comments welcome!

R2 v1 2026-06-24T10:01:00.226Z