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Abstract cellularization as a cellularization with respect to a set of objects

Boris Chorny
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Abstract

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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Boris Chorny. 2006-07-05. Abstract cellularization as a cellularization with respect to a set of objects. https://arxiv.org/abs/math/0607126

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