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math105-s22:notes:lecture-1 [2022/01/18 12:05] pzhou |
math105-s22:notes:lecture-1 [2022/01/19 10:15] (current) pzhou ↷ Page moved from math105-s22:lecture-1 to math105-s22:notes:lecture-1 |
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====== Lecture 1 ====== | ====== Lecture 1 ====== | ||
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* Motivation for Lebesgue measure (read Tao 7.1) | * Motivation for Lebesgue measure (read Tao 7.1) | ||
* What is the definition of outer-measure? | * What is the definition of outer-measure? | ||
* Hmm, the outer-measure of a closed box? Why is it so complicated? | * Hmm, the outer-measure of a closed box? Why is it so complicated? | ||
- | * Interlude, the Banach-Tarski sphere. | + | * Interlude, the [[https:// |
Discussion Time: | Discussion Time: | ||
* How to prove that has zero outer-measure? | * How to prove that has zero outer-measure? |