Proof for Unions and Intersections of Open Sets | Real Analysis

preview_player
Показать описание
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

◉Textbooks I Like◉

★DONATE★

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!

Follow Wrath of Math on...

Рекомендации по теме
Комментарии
Автор

Just started this topic in my analysis course. great vid as always

Heuyy
Автор

Is union of finite open sets open?

Is intersection of infinite open sets open?

ThaeThae-hk
Автор

these videos are amazing i would wanna ask for some on cauchy criterion of series🙏🙏

steepe
Автор

Why does the intersection have to be of a finite collection ?

JacemHagui