Construction of lebesgue measure, outer measure and the main theorem

Construction of Lebesgue measure, outer measure, and the main theorem

0:00 start
5:00 elementary set
9:00 the properties of outer measure
15:00 symmetric difference and lemma
18:00 the finitely u measurable set and measurable set
21:00 prove the finitely u measurable set and measurable set
are both sigma ring and measurable is countable additive
41:00 Construction of Lebesgue measure, outer measure

Advanced mathematics list:

Real analysis:

Group representation for finite group

exact sequences

Ring theory lecture

group theory lecture

Category theory

Field theory in abstract algebra

Mathematical analysis

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