Construction of Lebseque Measure Flashcards
(7 cards)
1
Q
Define the outer measure
A
2
Q
What is the outer measure of an interval?
A
Its length
3
Q
Give two properties of the outer measure?
A
countably subadditive, monotonic
4
Q
What does it mean for a set to lebesque mesurable
A
For all A
5
Q
Give the excision property
A
6
Q
Define ascending and descending sets
A
7
Q
Give the continuity properties of a measure
A
Typo in answer: part ii should read descending