Homotopical Algebra

Quillen, D. G. (1967). Homotopical Algebra. Springer.

Type

Book

Intellectual base

Review or monograph

Year

1967

DOI

10.1007/bfb0097438

ISBN

9783540039143

DOI registrant

Springer Nature

Link

https://doi.org/10.1007/BFb0097438

Cited by

2 citations across 2 artifacts.

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

Domain-specific

• Homotopy Category
  • characterized by a functor \(\gamma:\mathcal M\to\operatorname{Ho}(\mathcal M)\) that sends every \(w\in W\) to an isomorphism and is universal among functors doing so.
• Quillen Adjunction
  • In fact it is a Quillen equivalence; its derived functors identify their homotopy categories.

    This sourceFoundational source for closed model categories and the classical simplicial-set/space comparison; DOI and bibliographic identity verified on Springer.

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