All Items 1 Collection 1 The Octagon 1 Contributor 2 Ching, Michael (Michael Comyn) (Department of Mathematics and Statistics, Amherst College) 1 Riehl, Emily (Department of Mathematics, Harvard University) 1 Topic 2 Algebraic topology 1 Categories (Mathematics) 1 Part Of 1 The Amherst College Octagon 1 Genre 1 Articles 1 Subject 2 Algebraic topology 1 Categories (Mathematics) 1 Coalgebraic models for combinatorial model categories Ching, Michael (Michael Comyn) (Department of Mathematics and Statistics, Amherst College) 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. Coalgebraic models for combinatorial model categories
