可数aD-空间的研究

The Study of the Countable-aD-Spaces

文章继续研究了可数aD-空间的一些拓扑性质,获得了如下结果:可数aD-空间在连续闭映射下的象空间是可数aD-空间;可数aD-空间的覆盖性质;T1的Lindeloff空间X是一个Metalindeloff空间和一个可数aD-空间的并,则X是可数aD-空间.

We continue to study the topological properties of countable-aD-spaces and obtained the following results：the image spaces of countable-aD-spaces under continuous closed mapping is a countable-aD-spaces;the covering properties of countable-aD-spaces;if the Lindeloff and T1 space X is the union of a Metalindeloff spaces and a countable-aD-spaces,then X is a countable-aD-spaces.