English

Hyperspaces of dimension 1

General Topology 2022-02-01 v1

Abstract

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

Keywords

Cite

@article{arxiv.2201.12679,
  title  = {Hyperspaces of dimension 1},
  author = {Alfredo Zaragoza},
  journal= {arXiv preprint arXiv:2201.12679},
  year   = {2022}
}
R2 v1 2026-06-24T09:08:58.792Z