Measure Theory 23 | Proof of Carathéodory's Extension Theorem [dark version]

Find more here: https://tbsom.de/s/mt
Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths
Or support me via PayPal: https://paypal.me/brightmaths
Or via Ko-fi: https://ko-fi.com/thebrightsideofmathematics
Or via Patreon: https://www.patreon.com/bsom
Or join the channel here: https://www.youtube.com/channel/UCdwo4k1RQHTcq_-WS7Cazqg/join
Or via other methods: https://thebrightsideofmathematics.com/support/

Watch the whole video series about Measure Theory and download PDF versions and quizzes: https://tbsom.de/s/mt
There is also a dark mode version of this video: https://youtu.be/_3EajJ6elpg
There is also a bright mode version of this video: https://youtu.be/iA6ATJFViUs

To find the YouTube-Playlist, click here for the bright version: https://www.youtube.com/playlist?list=PLBh2i93oe2qvMVqAzsX1Kuv6-4fjazZ8j
And click here for the dark version of the playlist: https://www.youtube.com/playlist?list=PLBh2i93oe2quIJS-j1NpbzEvQCmN00F5o

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/thebrightsideofmathematics/bsom-subtitles/tree/main/mt

This is my video series about Measure Theory. I hope that it will help everyone who wants to learn about it. 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

#MeasureTheory
#Analysis
#Integral
#Calculus
#Measures
#Mathematics
#Probability

This is part 23 of 23 videos.

(This explanation fits to lectures for students in their first year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)

The Bright Side of Mathematics has whole video courses about different topics and you can find them here https://tbsom.de/s/start Receive SMS online on sms24.me

TubeReader video aggregator is a website that collects and organizes online videos from the YouTube source. Video aggregation is done for different purposes, and TubeReader take different approaches to achieve their purpose.

Our try to collect videos of high quality or interest for visitors to view; the collection may be made by editors or may be based on community votes.

Another method is to base the collection on those videos most viewed, either at the aggregator site or at various popular video hosting sites.

TubeReader site exists to allow users to collect their own sets of videos, for personal use as well as for browsing and viewing by others; TubeReader can develop online communities around video sharing.

Our site allow users to create a personalized video playlist, for personal use as well as for browsing and viewing by others.

@YouTubeReaderBot allows you to subscribe to Youtube channels.

By using @YouTubeReaderBot Bot you agree with YouTube Terms of Service.

Use the @YouTubeReaderBot telegram bot to be the first to be notified when new videos are released on your favorite channels.

Look for new videos or channels and share them with your friends.

You can start using our bot from this video, subscribe now to Measure Theory 23 | Proof of Carathéodory's Extension Theorem [dark version]

What is YouTube?

YouTube is a free video sharing website that makes it easy to watch online videos. You can even create and upload your own videos to share with others. Originally created in 2005, YouTube is now one of the most popular sites on the Web, with visitors watching around 6 billion hours of video every month.