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This report defines E-infinity-descendability in maps of commutative rings, highlighting Tannaka duality.
We introduce the notion of E_∞-descendability as well as a derived variant. We prove that several classes of descendable maps of commutative rings are E_∞-descendable. As an application, we prove a variant of Tannaka duality.
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Antieau et al. (2025) studied this question.
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