May 1st, 2014, 01:17 PM  #1 
Newbie Joined: May 2014 From: Pembroke Posts: 1 Thanks: 0  Lebesque Measure
Prove that there exists disjoint sets A and B for which [0, 1] = A U B where m(A) = 0 and B is the countable union of sets in [0, 1] which are nowhere dense in [0, 1].


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countable, dense, disjoint, lebesque, measure 
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