一個可分配且有最小跟最大元素的束L可以嵌入到C(S),其中S是一個緊緻豪斯多夫空間。如果L是一個布林代數,則L有表示式可以用來擴張在L上有界變分的valuation變成一個定義在S的鮑萊爾代數上的Radon測度。 A distributive lattice L with smallest and largest elements can be embedded in C(S) for some compact Hausdorff space S. When L is a boolean algebra, L has a representation can be used to extend the valuations of bounded variation on L to Radon measures on the Borel algebra of S.