Hyperspaces of dimension 1

Alfredo Zaragoza

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arXiv · 2201.12679

Hyperspaces of dimension 1

Alfredo Zaragoza

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Abstract

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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Alfredo Zaragoza. 2022-01-29. Hyperspaces of dimension 1. https://arxiv.org/abs/2201.12679

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