Cone condition
In mathematics, the cone condition is a property which may be satisfied by a subset of a Euclidean space. Informally, it requires that for each point in the subset a cone with vertex in that point must be contained in the subset itself, and so the subset is "non-flat".An open subset of a Euclidean space is said to satisfy the weak cone condition if, for all, the cone is contained in. Here represents a cone with vertex in the origin, constant opening, axis given by the vector, and height.
satisfies the strong cone condition if there exists an open cover of such that for each there exists a cone such that.
