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Measure Theory 2 | Borel Sigma Algebras

📝 Find more here: https://tbsom.de/s/mt 👍 Support the channel on Steady: https://steadyhq.com/en/brightsideofm... Other possibilities here: https://tbsom.de/sp You can also support me via PayPal: https://paypal.me/brightmaths Or via Ko-fi: https://ko-fi.com/thebrightsideofmath... Or via Patreon:   / bsom   Or via other methods: https://thebrightsideofmathematics.co... Join this channel on YouTube:    / @brightsideofmaths   💬 Access to the community forum: https://thebrightsideofmathematics.co... 🕚 Early access for videos: https://thebrightsideofmathematics.co... ❓ FAQ: https://thebrightsideofmathematics.co... 🛠️ What tools do you use: https://thebrightsideofmathematics.co... Please consider to support me if this video was helpful such that I can continue to produce them :) Each supporter gets access to the additional material. If you need more information, just send me an email: https://tbsom.de/s/mail Watch the whole video series about Measure Theory and download PDF versions, quizzes and exercises: https://tbsom.de/s/mt Supporting me via Steady is the best option for me and you. Please consider choosing a supporter package here: https://tbsom.de/s/subscribe 🌙 There is also a dark mode version of this video:    • Measure Theory 2 | Borel Sigma Algebr...   🔆 There is also a bright mode version of this video:    • Measure Theory 2 | Borel Sigma Algebras   🔆 To find the YouTube-Playlist, click here for the bright version:    • Measure Theory   🌙 And click here for the dark version of the playlist:    • Measure Theory [dark version]   🙏 Thanks to all supporters! They are mentioned in the credits of the video :) And a big thank you for everyone who contributes to the subtitles here: https://github.com/thebrightsideofmat... We discuss sigma algebra, measures, and integration. For any questions, please leave a comment or come to the community forum of the Bright Side of Mathematics: https://tbsom.de/s/community This is part 2 of 22 videos. 00:00 Recap sigma algebra 00:50 Intersections of sigma algebra 02:18 Generated sigma algebra 04:38 Example 08:30 Definition Borel sigma algebra #MeasureTheory #Analysis #Integral #Calculus #Measures #Mathematics #Probability I hope that this helps students, pupils and others. Have fun! (This explanation fits to lectures for students in their first and second year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on) For questions, you can contact me: https://steadyhq.com/en/backend/messa... The Bright Side of Mathematics has whole video courses about different topics and you can find them here https://tbsom.de/s/start