Embeddings in the Fell and Wijsman topologies
General Topology
2015-08-28 v2
Abstract
It is shown that if a topological space contains a closed uncountable discrete subspace, then the spaces and embed into , the hyperspace of nonempty closed subsets of equipped with the Fell topology. If is a non-separable perfect topological space, then and embed into , the hyperspace of nonempty closed subsets of equipped with the Wijsman topology, giving a partial answer to the Question 3.4 in [CJ].
Cite
@article{arxiv.1508.06441,
title = {Embeddings in the Fell and Wijsman topologies},
author = {Lubica Hola},
journal= {arXiv preprint arXiv:1508.06441},
year = {2015}
}