RINGS OF FUNCTIONS IN LIPSCHITZ TOPOTOGY

Let X atd,Ibe metric spaces with metrics d and d', respectively. A map f: X-Y is Lipschitz if there is I>0 such that d'(f(*),-f(y))=Ld(x,y) for all x,yCX. The smallest such I is the Lipschitz constant lip f of f. These notions make sense also for pseudometric spaces. If each point of X has a neighborhood on which / i