Categorical homotopy theory

Emily. (2014). Categorical homotopy theory. Cambridge University Press.

Type

Book

Intellectual base

Review or monograph

Year

2014

Pages cited

15-17

DOI

10.1017/cbo9781107261457

ISBN

9781107048454

DOI registrant

Cambridge University Press

Link

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

Cited by

5 citations across 5 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.
• Factorization system
  • 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

Does it exist? Confirmed. This work's DOI resolves to a registered record, which fixes its identity. That is all it fixes.

Does it back the claim? Not recorded. Neither this nor any other of the 5 citations of this work carries a recorded support check.

Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.

See how references were verified.

Registry ID ref:a995a806d263 · see in the full table