Lecture 3: Definition and Proofs on Lebesgue Measure (Caratheodory Condition).

Описание к видео Lecture 3: Definition and Proofs on Lebesgue Measure (Caratheodory Condition).

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The Lebesgue Measure is for Mathematicians!, It Partition the Men from the Boys. If you don't understand this course, this video will train you to be a man!
*Summary/Content of Video.
1. Caratheodory Condition: Definition of a Measurable set in R (0:52 - 8:45).
2. The Complement of a Measurable set is Measurable (8:45 - 13:10).
3. The Empty set and R are Measurable (13:10 - 16:25).
4. If the Outer Measure of a set is zero, then the set is Measurable (16:25 - 23:05).
5. A Countable set of real numbers is of measure zero (23:05 - 34:51)

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