论文标题
ERDS空间有限的越野越高空间
The Vietoris hyperspace of finite sets of Erdős space
论文作者
论文摘要
最近,David S. Lipham表明,如果$ x $是ErdőS的空间因素,那么$ x $的有限亚集的越南空间$ \ Mathcal {f}(x)$是Erdős的空间因素。在此简短说明中,我们证明,如果$ \ mathfrak {e} $表示erdős空间,则$ \ mathcal {f}(\ mathfrak {e})$实际上是同型到$ \ m athfrak {e} $。
Recently, David S. Lipham has shown that if $X$ is an Erdős space factor then the Vietoris hyperspace $\mathcal{F}(X)$ of finite subsets of $X$ is an Erdős space factor. In this short note we prove that if $\mathfrak{E}$ denotes Erdős space then $\mathcal{F}(\mathfrak{E})$ is in fact homeomorphic to $\mathfrak{E}$.