The Theory of Quasi-Categories and Its Applications

Joyal, A. (2008). The Theory of Quasi-Categories and Its Applications.

Type

Book

Intellectual base

Review or monograph

Year

2008

Link

https://ncatlab.org/nlab/files/JoyalTheoryOfQuasiCategories.pdf

Cited by

2 citations across 2 artifacts.

Domain-specific

• Join (simplicial sets)
  • The simplicial join extends ordinal sum by colimits, has the empty simplicial set as unit, corresponds to categorical join under nerves, and supports slice, cone, horn, twisted-arrow, and higher-categorical constructions.
• Joyal Model Structure
  • Fibrations are then the maps having the right lifting property against the trivial cofibrations; terminology such as categorical fibration, isofibration, or pseudo-fibration must be tied to the source's exact convention.

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