Math 447, Homework 9.∗
Feel free to substitute each problem with the corresponding honors problem if you prefer.
1. (double points) Exercise 18.57 (page 335). You may assume certain properties of measurable
sets even if they were not explicitly proved in class. Part (d) is difficult.
2.
(a) Exercise 19.5.
(b) Exercise 19.7 (page 339). Hint: you may use the method from part (a), or apply part (a)
directly.
3. Exercise 19.9 (page 339).
Quiz 9. Exercise 19.16 (a,b) (page 341). You may use Exercise 3.5 without proof.
∗
c 2016 by Michael Anshelevich.
1
Math 447, Honors Homework 9
1. Exercise 18.57 (page 335). You may assume certain properties of measurable sets even if they
were not explicitly proved in class.
2.
(a) Exercise 19.5.
(b) Exercise 19.6 (page 339). Please provide careful details.
3. Exercise 19.14 (page 341). Hint: use two results from the section.
Honors quiz 9. Exercise 19.16 (a,b) (page 341). You may use Exercise 3.5 without proof.