${\mathbb{E}}_{\infty }$-coalgebras and $p$-adic homotopy theory

Tom Bachmann, Robert Burklund

We show that for any separably closed field $k$ of characteristic $p>0$, the canonical functor from nilpotent $p$-adic spaces to ${\mathbb{E}}_{\infty }$-coalgebras over $k$ (given by…