Lecture 8: Lebesgue Measurable Subsets and Measure

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MIT 18.102 Introduction to Functional Analysis, Spring 2021
Instructor: Dr. Casey Rodriguez

We continue our discussion of sigma-algebras and measure, including fundamental examples of measurable sets that which will allow us to define the Lebesgue measure. We then turn to proving properties of Lebesgue measure.

License: Creative Commons BY-NC-SA

  1. MIT OpenCourseWare
  2. Lebesgue measure
  3. Measurable sets
  4. continuity of measure
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Комментарии
Автор

I really like this lecture! I went over what I learnt in lectures long ago.


43:45 It is boring thing, but the third equality in the estimate of m(A_1) + m(A_2) at 43:45 is not correct or not necessary.
Since length(I_n) = length(J_n) + length(K_n) and the definition of I_n, we should omit the third equality from the estimation of m(A_1) + m(A_2).

hausdorffm
Автор

@MITOCW can you up the course Real Analysis 18.100B?

thiennhatvuong