论文标题
Sorgenfrey系列的开放图像
Open images of the Sorgenfrey line
论文作者
论文摘要
我们对Hausdorff连续的Sorgenfrey系列的开放图像进行了描述：这些恰恰是那些具有Sorgenfrey底座的空间。使用此描述，我们证明没有包含Sorgenfrey线副本的Hausdorff紧凑型空间是它的连续开放图像。尤其是双箭头空间不是Sorgenfrey线的连续开放图像。
We give a description of Hausdorff continuous open images of the Sorgenfrey line: these are precisely those spaces that have a Sorgenfrey base. Using this description we prove that no Hausdorff compact space that contains a copy of the Sorgenfrey line is a continuous open image of it; in particular the double-arrow space is not a continuous open image of the Sorgenfrey line.
