hw6 - A [0 , 1], there exists a Borel set B [0 , 1] such...

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Math 318 HW #6 Due 5:00 PM Thursday, March 17 Reading: § 13–15. Problems: 1. (a) Exercise 16.7. (b) Exercise 16.36. 2. Exercise 16.23. 3. (a) Find a trivial proof of Theorem 12.9 which illustrates why this theorem is not very useful as stated. (b) Prove the following, actually useful, version of Theorem 12.9: Given a measurable set
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Unformatted text preview: A [0 , 1], there exists a Borel set B [0 , 1] such that the symmetric dierence A 4 B has measure zero. (Recall that the symmetric dierence of two sets is dened as A 4 B = ( A \ B ) ( B \ A ).) 1...
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This note was uploaded on 08/20/2011 for the course MATH 318 taught by Professor Staff during the Spring '08 term at Haverford.

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