Abstract cellularization as a cellularization with respect to a set of objects
classification
🧮 math.AT
math.CT
keywords
cellularizationobjectsrespectsimplicialabstractassumptionaugmentedcategory
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Given a simplicial idempotent augmented endofunctor $F$ on a simplicial combinatorial model category $M$, under the assumption of Vopenka's principle, we exhibit a set $A$ of cofibrant objects in $M$ such that $F$ is equivalent to $\CW_A$, the cellularization with respect to $A$.
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