本文研究了诱导极限按弱拓扑的正则性.应用Banemh圆盘的方法和严格网状空间的局部化定理,证明了若严格网状空间的诱导极限满足条件(Q0),则它必为凸弱可数紧正则的.
In this article, we investigate the regularity of inductive limits with respect to weak topologies. By using the method of Banach disks and the localization theorem for strictly webbed spaces, we prove that if an inductive limit of strictly webbed spaces satisfies condition (Q0), then, it is convex weakly countably compact regular.