Proof for Unions and Intersections of Open Sets | Real Analysis

[@WayneJunior-m3h]

I love for u to do this video Let f: X maps Y be a function, not necessarily continuous, between two topological spaces. Let ℬ be a basis for y, and suppose that f inverse of B is open in X for all B in ℬ. Then prove that f is continuous.

[@Skategod776]

You explain this well. Good job

[@WrathofMath]

Thank you!

[@Heuyy123]

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

[@begum9591]

Great video as always!

[@WrathofMath]

Thank you!

[@goodmafiatr3530]

Another banger by Wrath Of Math

[@WrathofMath]

Bangers all day everyday! Really want to get my momentum back on the Real Analysis playlist.

[@aleana6246]

Thankkkk youuuu soooo muchhhh 😭😭😭💓💓💓

[@steepe007]

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

[@nazmulhasanfahim731]

Well explained for me

[@WrathofMath]

Awesome, thanks for watching!

[@ThaeThae-h7k]

Is union of finite open sets open? Is intersection of infinite open sets open?

[@siriuss_]

Arigato :3

[@JacemHagui]

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

[@sHexuality]

take the set A_n= (-1/n,1/n), then the infinite intersection of all A_n such that n is a (non-zero) natural number is the set {0}. But there is no neighborhood of 0 such that this neighborhood is contained within the set {0}, so it is not open

[@JacemHagui]

@@sHexuality AH that makes so much sense, thanks a lot !

[@oraleehighers8509]

😩 ρɾσɱσʂɱ