An embedding in the Fell topology

Lubica Hola

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arXiv · 1402.4282

An embedding in the Fell topology

Lubica Hola

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Abstract

It is shown that if a $T_2$ topological space contains an uncountable closed discrete set, then $\omega_1 \times (\omega_1 + 1)$ embeds as a closed subspace of $(CL(X),\tau_F)$, the hyperspace of nonempty closed subsets of $X$ equipped with the Fell topology.

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Lubica Hola. 2014-02-18. An embedding in the Fell topology. https://arxiv.org/abs/1402.4282

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