{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

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

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
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
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: A ⊆ [0 , 1], there exists a Borel set B ⊆ [0 , 1] such that the symmetric difference A 4 B has measure zero. (Recall that the symmetric difference of two sets is defined as A 4 B = ( A \ B ) ∪ ( B \ A ).) 1...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online