  Let G be a connected reductive algebraic group over an algebraically closed
field k. We consider the strata in G defined by Lusztig as fibers of a map
given in terms truncated induction of Springer representations. We extend to
arbitrary characteristic the following two results: Lusztig's strata are
locally closed and the irreducible components of a stratum X are those sheets
for the G-action on itself that are contained in X.
