论文标题

维度1的超空间

Hyperspaces of dimension 1

论文作者

Zaragoza, Alfredo

论文摘要

在Previuos论文中,作者询问是否存在一维空间$ x $几乎不是零维的,因此,紧凑型子集的超空间的尺寸为$ x $是一维的。在此简短的说明中,我们给出了几乎零维的空间$ x $的示例,以至于$ x $是一维的,而它们的压缩空间为$ x $也是一维的。

In a previuos paper the author asked if there exists a one-dimensional space $X$ that is not almost zero-dimensional, such that the dimension of the hyperspace of compact subsets of $X$ is one-dimensional. In this short note we give examples of spaces $X$ that are not almost zero-dimensional such that $X$ is one-dimensional and their hyperspace of compacta of $X$ also is one-dimensional.

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