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Nowhere Dense
Posted:
Jun 30, 2011 9:30 AM


If A\B is nowhere dense, then int cl A subset cl B.
The converse doesn't hold; for example, A = Q, B = R\Q.
 If int cl A subset cl int B, then A\B is nowhere dense.
The converse doesn't hold; for example, A = B = (0,1) /\ Q.
 It there some similar property for A and B that's equivalent to A\B is nowhere dense?




