I am reading a paper and there is such description as title. Why?
I have an example: $(0,1)$. This is a convex set but not closed, so I cannot find an extreme point. However if convex and compact,
I read some related problems:
- Exposed point of a compact convex set
There must be at least one exposed point. But an extreme point is not necessary equal to an exposed point.
- Convex hull of extreme points
A convex hull $P$ of finite points. Then $P$ is the convex hull of its extreme points.
It seems there is a requirement "finite points" to guarantee the topic?