Categorical Homotopy Theory

Riehl, E. (2014). Categorical Homotopy Theory. Cambridge University Press.

Type

Book chapter

Intellectual base

Review or monograph

Year

2014

Link

https://emilyriehl.github.io/files/cathtpy.pdf

Cited by

4 citations across 4 artifacts.

Each citation links to the sentence it supports in the citing article.

Domain-specific

• Categorical Lift
  • Riehl's treatment of weak factorization systems makes this square-filler role explicit.
• Complete category
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.
• Joyal Model Structure
  • This sharp counterexample corrects a material error in the frozen discovery article.
• Quillen Adjunction
  • Equivalently, the right adjoint \(U\) preserves fibrations and trivial fibrations.

    This sourceAuthor-hosted full text inspected, especially §§2.2, 5.2, 6.2, and 11.3, for deformation boundaries, examples, weak-factorization proof, Ken Brown’s lemma, derived adjunction, and equivalence criterion.

Verification

This reference passed the adversarial substantiation pipeline: it was checked to exist and to support the claim it is attached to. See how references were verified.

Registry ID ref:a995a806d263 · see in the full table