  We show that, in the context of pure Einstein gravity, a democratic principle
for intersection possibilities of branes winding around extra dimensions in a
given partitioning yield stabilization, while what the observed space follows
is matter-like dust evolution . Here democracy is used in the sense that, in a
given decimation of extra dimensions, all possible wrappings and hence all
possible intersections are allowed. Generally, the necessary and sufficient
condition for this is that the dimensionality $m$ of the observed space
dimensions obey $3\leqm \le N$ where $N$ is the decimation order of the extra
dimensions.
