MIT 18.102 Introduction to Functional Analysis, Spring 2021 - Lecture 8: Lebesgue Measurable Subsets and Measure

MIT 18.102 Introduction to Functional Analysis, Spring 2021 Instructor: Dr. Casey Rodriguez View the complete course: https://ocw.mit.edu/courses/18-102-introduction-to-functional-analysis-spring-2021/ YouTube Playlist: https://www.youtube.com/watch?v=cqdUuREzGuo&list=PLUl4u3cNGP63micsJp_--fRAjZXPrQzW_&index=8 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 More information at https://ocw.mit.edu/terms More courses at https://ocw.mit.edu Support OCW at http://ow.ly/a1If50zVRlQ We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.