u/Lopsided-Valuable347

How to solve (e) part of this question?

How to solve (e) part of this question?

So I was thinking of using the Schroder Barnstein theorem. I was able to make an injective function (f(x)=(x,1-x)) that maps from (0,1) to (0,1)x(0,1) but i don't know how to do it the other way around. Any suggestions? (ps. I am a beginner)

u/Lopsided-Valuable347 — 6 days ago