Quotient Topology for Equivalence Relations (Identification Spaces)

This is a short video about the quotient topology on a set of equivalence classes X/~. We start with recalling what an equivalence relation on a set X is, then look at a common example. Then we move to the setting that X has a topology, and ask what is a natural topology that X/~ can have. In particular, what’s a good topology that X/~ can have that ensures the natural projection from X is continuous? It’s the quotient topology! Then we look at an example to get comfortable with the notation and ideas.

[@zhengkiatchew911]

Thanks for clearing my doubts!!!!

[@DrMcCrady]

Welcome!

[@hexeldev]

top tier

[@DrMcCrady]

Glad it was helpful!

[@SS-ket]

Very helpful video

[@DrMcCrady]

Good to hear, glad it was helpful!

[@ananyapamde4514]

❤️❤️