极大点空间的若干特征定理

Some Characteristic Theorems on Maximal Point Spaces

本文利用极大点空间的等价刻划证明了极大点空间的某些子空间、不交和、 乘积空间、逆序列的逆极限、具有可数基的局部紧的Hausdorff空间是极大点空间,还 给出了具有可数基的局部紧的Hausdorff空间的Domain hull.

In this paper, by using the equivalent characterization of the maximal point spaces, we obtain that subspaces, disjoint sums, cartesian products, inverse limits of inverse sequence and second countable locally compact Hausdorff spaces are all maximal point spaces; and the domain hull of second countable locally compact Hausdorff spaces is given.