Coalgebraic models for combinatorial model categories

Michael Ching, Emily Riehl

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


We show that the category of algebraically cofibrant objects in a combinatorial and simplicial model category A has a model structure that is left-induced from that on A. In particular, it follows that any presentable model category is Quillen equivalent (via a single Quillen equivalence) to one in which all objects are cofibrant.

Original languageEnglish
Pages (from-to)171-184
Number of pages14
JournalHomology, Homotopy and Applications
Issue number2
Publication statusPublished - 2014
Externally publishedYes


  • Coalgebra
  • Cofibrant object
  • Model category


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