Coalgebraic models for combinatorial model categories
classification
🧮 math.AT
math.CT
keywords
modelcategorycofibrantcombinatorialobjectsquillenalgebraicallycategories
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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.
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