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 (   • Probability Measures | properties, [Laplac...  ) I am sorry for any incorrect pronunciation of English words ---------------------------------------------------------------------------------------------------- +++Support me and get my crossproduct-guide as a reward+++ ► My short-guide about the crossproduct is only 6 Dollars and teaches you to solve any linear equation system using the crossproduct in R^3 on around 10 pages. ► Get the guide by supporting me on Patreon! Please take a look at:   / fortymoo   ► You can also purchase it on my Website! Just hit the "Buy Now" PayPal-Button: https://forty-moo.github.io/Kategorie... Only with your help I will be able to keep working on mathematical stuff and producing videos!