Before revision: A k-hole in a point set S \subseteq R^2 is a subset X \subseteq S, |X|=k, such that all points of X lie on the boundary of the convex hull conv (X) and no point of S \setminus X lies in conv (X).
After revision: A k-hole in a point set S \subseteq R^2 is a subset X \subseteq S, |X|=k, such that all points of X lie on the boundary of the convex hull conv (X) , and k-hole if, in addition, no point of S \setminus X lies in conv (X).