We prove the union of a collection of open sets is open, and the intersection of a finite collection of open sets is open. To do this, we use basic set operation properties and the definition of open sets. #RealAnalysis
Intro to Open Sets: [ Ссылка ]
Real Analysis playlist: [ Ссылка ]
Real Analysis exercises: [ Ссылка ]
◉Textbooks I Like◉
Graph Theory: [ Ссылка ]
Real Analysis: [ Ссылка ]
Proofs and Set Theory: [ Ссылка ] (available for free online)
Statistics: [ Ссылка ]
Abstract Algebra: [ Ссылка ]
Discrete Math: [ Ссылка ]
Number Theory: [ Ссылка ]
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Thanks to Petar, dric, Rolf Waefler, Robert Rennie, Barbara Sharrock, Joshua Gray, Karl Kristiansen, Katy, Mohamad Nossier, and Shadow Master for their generous support on Patreon!
Thanks to Crayon Angel, my favorite musician in the world, who upon my request gave me permission to use his music in my math lessons: [ Ссылка ]
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