  Let X denote a reduced algebraic variety and D a Weil divisor on X. The pair
(X,D) is said to be semi-simple normal crossings (semi-snc) at a point a of X
if X is simple normal crossings at a (i.e., a simple normal crossings
hypersurface, with respect to a local embedding in a smooth ambient variety),
and D is induced by the restriction to X of a hypersurface that is simple
normal crossings with respect to X. We construct a composition of blowings-up
f: X' -> X such that the transformed pair (X',D') is everywhere semi-simple
normal crossings, and f is an isomorphism over the semi-simple normal crossings
locus of (X,D). The result answers a question of Kollar.
