Corpus ID: 232075672

A characterization of the product of the rational numbers and complete Erd\H{o}s space

@article{HernandezGutierrez2021ACO,
  title={A characterization of the product of the rational numbers and complete Erd\H\{o\}s space},
  author={Rodrigo Hern'andez-Guti'errez and A. Zaragoza},
  journal={arXiv: General Topology},
  year={2021}
}
Erdős space $\mathfrak{E}$ and complete Erdős space $\mathfrak{E}_c$ have been previously shown to have topological characterizations. In this paper, we provide a topological characterization of the topological space $\mathbb{Q}\times\mathfrak{E}_c$, where $\mathbb{Q}$ is the space of rational numbers. As a corollary, we show that the Vietoris hyperspace of finite sets $\mathcal{F}(\mathfrak{E}_c)$ is homeomorphic to $\mathbb{Q}\times\mathfrak{E}_c$. We also characterize the factors of $\mathbb… Expand

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