Skip to main content
changed $x\geq 0$ to $x\geq 2$
Source Link
Richard Stanley
  • 50.8k
  • 14
  • 155
  • 279

As an example, consider in $\mathbb{R}^2$ the convex hull of the path from $(2,0)$ to $(0,0)$ to $(0,2)$ to $(2,2)$, together with the semicircle $(x-2)^2+(y-1)^2=1$, $x\geq 0$$x\geq 2$. Then the points $(2,0)$ and $(2,2)$ are nonexposed faces.

As an example, consider in $\mathbb{R}^2$ the convex hull of the path from $(2,0)$ to $(0,0)$ to $(0,2)$ to $(2,2)$, together with the semicircle $(x-2)^2+(y-1)^2=1$, $x\geq 0$. Then the points $(2,0)$ and $(2,2)$ are nonexposed faces.

As an example, consider in $\mathbb{R}^2$ the convex hull of the path from $(2,0)$ to $(0,0)$ to $(0,2)$ to $(2,2)$, together with the semicircle $(x-2)^2+(y-1)^2=1$, $x\geq 2$. Then the points $(2,0)$ and $(2,2)$ are nonexposed faces.

Source Link
Richard Stanley
  • 50.8k
  • 14
  • 155
  • 279

As an example, consider in $\mathbb{R}^2$ the convex hull of the path from $(2,0)$ to $(0,0)$ to $(0,2)$ to $(2,2)$, together with the semicircle $(x-2)^2+(y-1)^2=1$, $x\geq 0$. Then the points $(2,0)$ and $(2,2)$ are nonexposed faces.