All About Closed Sets and Closures of Sets (and Clopen Sets) | Real Analysis

[@WrathofMath]

NOTE: Around 08:58 when we discuss the closure of a set, I must clarify that the closure of A being a closed set is not as trivial as I made it sound. Certainly the closure of A contains the limit points of A, but when unioning A with L, it is possible we introduced NEW limit points of the set L, and thus to show the closure of A is closed, we'd need to consider this possibility. As it turns out, new limit points will not be introduced in this process, so closures are indeed closed, but again - it's not as trivial as I made it sound.

[@kanikgupta22]

Your lectures have definitely helped me a lot in these proofs in discrete maths

[@WrathofMath]

Glad to hear it! Thanks for watching and let me know if you have any video requests!

[@TranquilSeaOfMath]

5:31 I like that you connected your discussion here with closure under an operation.

[@FAITHMUMBE-qe6jv]

You have been my refuge 😅

[@paladin1147]

Legend man, legend man

[@WrathofMath]

Appreciate ya

[@shahriarjami]

Thank you. it was great❤‍🔥

[@WrathofMath]

Glad to help - thanks for watching!

[@shambo9807]

Saving lives...

[@WrathofMath]

I'm doing my best! Let me know if you have any questions or video requests!

[@mfonpeter124]

Will it be possible to create lectures on Topology in Real Numbers with n dimensions😣. @@WrathofMath