An embedding in the Fell topology
classification
🧮 math.GN
keywords
closedfellomegatopologycontainsdiscreteembeddingembeds
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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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