The MathResource
frontier
or boundary, n. the set of points (frontier points) that are members both of the closure of a given set and of the closure of its complement; equivalently, the set of points in the closure but not in the interior of the given set, usually written FrA. For example,
Fr ( (0, 1] ) = {0, 1};
the frontier of the rationals is the set of all real numbers.