𝔼_∞-coalgebras and p-adic homotopy theory

2024/02/24 by Bachmann, Tom, Burklund, Robert
#Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2402.15850

Abstract

We show that for any separably closed field k of characteristic p>0, the canonical functor from nilpotent p-adic spaces to 𝔼_∞-coalgebras over k (given by singular chains with coefficients in k) is fully faithful. We also identify the essential image of simply connected spaces inside coalgebras. This dualizes and removes finiteness assumptions from a theorem of Mandell.

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