Ivan Panin

Ivan Panin is working to prove jointly with Grigory Garkusha the following result theorem. Let F be a Fr_* (presheaf of abelian groups in the sense of an unpublished work of Voevodsky). Assume that F is stable and homotopy invariant. Then, (1) the associated Nisnevich sheaf F_Nis is stable and homotopy invariant; (2) for all integer p the presheaves H^p (—, F_Nis) are homotopy invariant and stable.