Baire Category Theorem

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Thanks to all supporters! They are mentioned in the credits of the video :)

#FunctionalAnalysis
#Mathematics
#LearnMath
#calculus

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)

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This is one of my favourite theorems ever !! It's really insane the amount of seemingly unrelated stuff you can prove by cleverly applying Baire's category theorem !

StratosFair

New upload because there was the mistake in the beginning, not mentioning the openness of the dense sets. Thanks for the viewers that pointed that out :)

brightsideofmaths

I hope you will continue this series at some point, I thoroughly enjoyed it!

Ghetto_Bird

Can Baire's Category theorem be seen as a different version of the statement that a countable union of sets with measure zero also has measure zero, provided we have a suitable measure and provided we restrict our view to measure spaces?

elsa

Many thanks for this video. One question remains for me: Can you say what the Aj in the application are?

spogel

Will there also be a dark side version for this video?

Hold_it

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