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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 ======
 +{{ :math105-s22:note_jan_18_2022_math105_1.pdf | note}}, [[https://berkeley.zoom.us/rec/share/qx3MKU2zdiac0LzeZn5IoQZTrSgUg01JZTxsGfU7Q7oIRWCUJJRtJz4RjINQnFuA.Ty9rPvaUgOriN4WM | video]]
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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://courses.wikinana.org/math105-s22/lecture-1 | Banach-Tarski sphere]]
 Discussion Time:  Discussion Time: 
   * How to prove that {1,2,3}\{1,2,3\} has zero outer-measure?    * How to prove that {1,2,3}\{1,2,3\} has zero outer-measure? 
math105-s22/notes/lecture-1.1642536353.txt.gz · Last modified: 2022/01/18 12:05 by pzhou