论文标题
保存完全的贝尔
Preservation of complete Baireness
论文作者
论文摘要
主要结果是以下内容。令$ f \ colon x \ rightarrow y $是将完全baire space $ x $的连续映射到遗传性弱弱的preiss-simon常规空间$ y $上，以便每个开放子集的$ x $的图像是$ y $ y $ y $ y $ y $ y $ y $的。然后，$ y $是完全的baire。 经典的Hurewicz定理涉及将有理数空间的封闭嵌入到可衡量的空间中的封闭式嵌入，被推广到弱的预科空间常规空间。
The main result is the following. Let $f \colon X \rightarrow Y$ be a continuous mapping of a completely Baire space $X$ onto a hereditary weakly Preiss-Simon regular space $Y$ such that the image of every open subset of $X$ is a resolvable set in $Y$. Then $Y$ is completely Baire. The classical Hurewicz theorem about closed embedding of the space of rational numbers into metrizable spaces is generalized to weakly Preiss-Simon regular spaces.
