math105-s22:notes:lecture-1
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math105-s22:notes:lecture-1 [2022/01/18 20:05] pzhou |
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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 $\{1,2,3\}$ has zero outer-measure? | * How to prove that $\{1,2,3\}$ has zero outer-measure? | ||
math105-s22/notes/lecture-1.1642536353.txt.gz · Last modified: 2026/02/21 14:43 (external edit)
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