Perfection in motivic homotopy theory

Zusammenfassung

We prove a topological invariance statement for the Morel-Voevodsky motivic homotopy category up to inverting exponential characteristics of residue fields. This implies in particular that SH1p of characteristic p>0 schemes is invariant under passing to perfections. Among other applications, we prove Grothendieck-Verdier duality in this context.