"any superset of a support is also a support"
Wikipedia:
Let f:R-->R: f(x) = 1 if x is in (-1,1), otherwise let f(x) = 0. Then support1 of f, "the set of points where the function is not zero" is (-1,1), and support2 of f, "the closure of that set", is [-1,1]. In either case, there is a...