*Definition [#f959cbd4] Let X be a topological space and A a family of subsets. A is called stable if for any f in C(X) (i.e. f is a continuous function on X), there is S in A such that f is bounded on S.
*Definition [#f959cbd4] Let X be a topological space and A a family of subsets. A is called stable if for any f in C(X) (i.e. f is a continuous function on X), there is S in A such that f is bounded on S.