- #1
notmuch
- 16
- 0
Hello,
Here's a problem that I'm having trouble with:
Give an example of metric spaces X and Y and continuous maps f: X->Y and g: Y->X such that f and g are both bijective but X and Y are not homeomorphic.
I can find plenty of examples where I can find one such function, but finding the second is always a problem.
Here's a problem that I'm having trouble with:
Give an example of metric spaces X and Y and continuous maps f: X->Y and g: Y->X such that f and g are both bijective but X and Y are not homeomorphic.
I can find plenty of examples where I can find one such function, but finding the second is always a problem.