2022/07/19 by Ragimov, Shaul, Schlank, Tomer M.
#Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics
paper · doi:10.48550/arxiv.2207.09244
In this paper we prove an ∞-categorical version of the reflection theorem of Adámek-Rosický. Namely, that a full subcategory of a presentable ∞-category which is closed under limits and κ-filtered colimits is a presentable ∞-category. We then use this theorem in order to classify subcategories of a symmetric monoidal ∞-category which are equivalent to a category of modules over an idempotent algebra.