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June 23rd, 2011, 11:11 PM  #1 
Newbie Joined: Jun 2011 Posts: 5 Thanks: 0  a question about Lebesgue measurable function
Please give a Lebesgue measurable subset E of Rn and a Lebesgue measurable and finitevalued function f on E satisfies there doesn't exist a sequence of Lebesgue measurable subsets {Ek}k=1,2,... of E such that (1)the untion of Ek is E; (2)the restriction of f to every set Ek is continuous on Ek. 

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