This shows you the differences between two versions of the page.
Both sides previous revision Previous revision | |||
math105-s22:hw:hw2 [2022/01/27 14:58] pzhou [Lemma 0] |
math105-s22:hw:hw2 [2022/02/03 23:00] pzhou [Lemma 3] |
||
---|---|---|---|
Line 28: | Line 28: | ||
Hint: This is a hard one. First prove that $A$ can be written as countable union of bounded closed subsets, then suffice to prove the claim that any bounded closed (hence compact) subset $A$ is measurable. | Hint: This is a hard one. First prove that $A$ can be written as countable union of bounded closed subsets, then suffice to prove the claim that any bounded closed (hence compact) subset $A$ is measurable. | ||
+ | |||
+ | Hint 2: Given $A$ a closed bounded subset of $\R^n$, for any $\epsilon> | ||
What does a closed set look like? Say, the cantor set in $[0, | What does a closed set look like? Say, the cantor set in $[0, |