Quasi-Categories vs Segal Spaces

Joyal, A., & Tierney, M. (2007). Quasi-Categories vs Segal Spaces. Categories in Algebra, Geometry and Mathematical Physics, 277-326.

Type

Conference paper

Intellectual base

Primary research

Year

2007

DOI

10.1090/conm/431/08278

ISBN

9780821839706

Link

https://doi.org/10.1090/conm/431/08278

Cited by

1 citation across 1 artifact.

Domain-specific

• Joyal Model Structure
  • … a left proper combinatorial model structure with these cofibrations and weak equivalences and relates it by a Quillen equivalence to simplicial categories through rigidification and the coherent nerve. Joyal and Tierney compare quasi-categories with complete Segal spaces and Segal categories by Quillen equivalences.

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