In this case Lawson topology on upper space UX agree with the Vietoris topology on Com(Max(UX)), which is homeomorphic to Max(C(UX)) with the Scott topology inherited from the C(UX).

• X的上空间UX上的Lawson拓扑与X紧子集上的Vietoris拓扑相同；并且与Max(C(UX))带有C(UX)上的相对Scott拓扑同胚.