3: Construction of Lebesgue Measure Flashcards
1
Q
outer measure is ___/___ subadditive
A
countably/finitely
2
Q
F is ___ if any open cover contains a ___ subcover
A
compact/finite
3
Q
If F is closed and bounded then any open cover admits a finite subcover
A
Heine-Borel
4
Q
The Lebesgue Outer Measure of an interval is its ___
A
Length
5
Q
A collection of subsets is an ___ if it is closed under taking complements of finite ___
A
algebra/unions
6
Q
finite/countable ___ of lebesgue measurable functions/sets are ____
A
unions/lebesgue measurable
7
Q
The lebesgue measurable sets for a ___-algebra
A
sigma
