measure-theory

= Measure theory
{wiki=Measure_(mathematics)}

Main motivation: <Lebesgue integral>.

The Bright Side Of Mathematics 2019 playlist: https://www.youtube.com/watch?v=xZ69KEg7ccU&list=PLBh2i93oe2qvMVqAzsX1Kuv6-4fjazZ8j

The key idea, is that we can't define a measure for the power set of R. Rather, we must select a large measurable subset, and the Borel sigma algebra is a good choice that matches intuitions.

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