Quasi-categories vs Segal spaces

2006/07/31 by Joyal, Andre, Tierney, Myles · 9 citations
#18G30 #18G55 #55U35 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0607820

Abstract

We show that complete Segal spaces and Segal categories are Quillen equivalent to quasi-categories.

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• Double factorization systems in equivariant topology and topos theory
• Filter Quotient Model Structures
• Simplicial Homotopy Type Theory is not just Simplicial: What are ∞-Categories?
• DHoTT: A Temporal Extension of Homotopy Type Theory for Semantic Drift
• Cosmological Unstraightening

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