Ak-extreme point is the limit ofk-exposed points

  title={Ak-extreme point is the limit ofk-exposed points},
  author={Edgar Asplund},
  journal={Israel Journal of Mathematics},
It is proved that the relative boundary of ak-dimensional intersection of a hyperplane and a compact convex body is contained in the closure of the union of all intersections of dimension lower thanp that the same convex body makes with different hyperplanes.