σ-algebras | [generated; partition; Borel]-sigma-algebras & much more

I explain sigma-algebras. We take a look at generated sigma-algebras and sigma-algebras generated by countable partitions. I also explain the Borel-sigma-algebra and much more...
Definition (0:33)
Corollary, intersection-closed (2:33)
easy examples (4:47)
generated sigma-algebras (8:03)
σ-alg. generated by count. partitions (9:42)
σ-alg. over countable sets (11:30)
example, partition (12:36)
Borel-σ-algebra (14:12)
σ-alg. of [co-]countable sets (15:25)

Next video: Probability measures (https://youtu.be/02TqmIQQAmc)

*I am sorry for any incorrect pronunciation of English words*

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