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How do you prove that the convex hull of A is the smallest convex set containing A?

edit: definition of a convex hull: Given a set A ⊆ ℝn the set of all convex combinations of points from A is called the convex hull of A.

  • 3
    That depends: how do you *define* the convex hull of $A$?2011-10-05
  • 0
    What is your definition of the convex hull? And don’t you mean the smallest *convex* set containing **A**?2011-10-05
  • 0
    [This](http://math.stackexchange.com/questions/69497/convex-hull-as-an-infinite-intersection) is related.2011-10-05

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