sigma-Algebras - Definition and Properties | Measure Theory

We learn about sigma-Algebras, the set in which the generalized volume will be defined. ☕ Make a small donation on Ko-fi: https://ko-fi.com/problemathic 📚 Buy measure theory books: Folland - Real Analysis: https://amzn.to/3Qnjjme Wheeden Zygmund - Measure and Integral: https://amzn.to/3SuZYC7 Tao - An introduction to measure theory: https://amzn.to/47AS7aH Stein - Real Analysis: https://amzn.to/3QiEfdY 👕 Buy great math t-shirts! https://problemathic.creator-spring.com/ 💥 Over 40k followers on instagram, join us!   / problemathicvideos   💬 Join our Discord server!!   / discord   💸 Support us on Patreon, every dollar helps make this videos!   / problemathic   🖇️ https://linktr.ee/Problemathic Timestamps in this video: 0:00 Introduction. 0:03 Recap from last video. 2:04 Definition: Algebra. 3:35 Definition: sigma-Algebra. 5:35 Example 1: {0, X, {a}, {b, c}}. 10:27 Properties of sigma-Algebras. 15:02 Conclusion. #maths #analysis #function