Construction of Lebseque Measure Flashcards

1
Q

Define the outer measure

A
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2
Q

What is the outer measure of an interval?

A

Its length

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3
Q

Give two properties of the outer measure?

A

countably subadditive, monotonic

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4
Q

What does it mean for a set to lebesque mesurable

A

For all A

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5
Q

Give the excision property

A
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6
Q

Define ascending and descending sets

A
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7
Q

Give the continuity properties of a measure

A

Typo in answer: part ii should read descending

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