In the first part, we have some advanced argument on the properties of the A-topology for an Archimedean Riesz space E and the properties of the topological space E equipped with the A-topology.

• 第一部分主要研究了A-拓扑以及A-拓扑空间的一些性质,得到了两个主要结论:(1)若Archimedean Riesz空间E和非空子集A(?)