English

Symmetric products of Erd\H{o}s space and complete Erd\H{o}s space

General Topology 2020-11-12 v1

Abstract

It is shown that the symmetric products of complete Erd\H{o}s space and Erd\H{o}s space are homeomorphic to complete Erd\H{o}s space and Erd\H{o}s space, respectively. We will also give some properties of their hyperspace of compact subsets with the Vietoris topology.

Keywords

Cite

@article{arxiv.2011.05464,
  title  = {Symmetric products of Erd\H{o}s space and complete Erd\H{o}s space},
  author = {Alfredo Zaragoza},
  journal= {arXiv preprint arXiv:2011.05464},
  year   = {2020}
}