包络半群与拓扑动力学中的接近关系

运用包络半群的理论，对接近关系中一个重要定理给出了一个简单证明．作为这一定理的应用，我们得到接近关系可乘性的一个结果．并且对另一种接近关系，也得到一个结果．这两个定理减弱了Ｃｌａｙ在这一领域中两个定理的条件．

Enveloping Semigroup and Proximity Relations in Topological Dynamics

By using theory of enveloping semigroup, we give a simple proof of an important theorem concerning proximity relations. As an application of this theorem, we obtain a result on the productivity of proximity relation. For another kind of proximity relation, we also obtain a result.These two theorems weaken the conditions of two of Clay's theorem in this field.