# Math Help - Convex Set

1. ## Convex Set

I need the proof :

An Extreme Point of a Convex set is a boundary point, but the converse is not true.

2. Originally Posted by manik
I need the proof :

An Extreme Point of a Convex set is a boundary point, but the converse is not true.
Could you be a little more specific? Is it a norm space?

As for the counterexample, take a square in the plane.