English

An embedding in the Fell topology

General Topology 2014-02-19 v1

Abstract

It is shown that if a T2T_2 topological space contains an uncountable closed discrete set, then ω1×(ω1+1)\omega_1 \times (\omega_1 + 1) embeds as a closed subspace of (CL(X),τF)(CL(X),\tau_F), the hyperspace of nonempty closed subsets of XX equipped with the Fell topology.

Keywords

Cite

@article{arxiv.1402.4282,
  title  = {An embedding in the Fell topology},
  author = {Lubica Hola},
  journal= {arXiv preprint arXiv:1402.4282},
  year   = {2014}
}
R2 v1 2026-06-22T03:10:25.397Z