Is Convexity topological?

1. Jan 28, 2012

Tomer

Hello!
It's not really a homework problem, but it should be able to help me with something.
I was just wondering: if two sets are Homeomoprh (topologically), and one of them is convex, does it mean that the other one is convex as well?

Thanks a lot!

Tomer.

2. Jan 28, 2012

Tomer

I just realized it probably isn't :)