Derek H. Smith
Abstract
In a recent paper (1) Effros defined a topology for the hyperspace of nonempty closed sets of a topological space X, and showed that, if X is polonais, the Borel structure of is standard. We shall show that this conclusion will also follow if X is σ-compact and metrizable.
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In a recent paper (1) Effros defined a topology for the hyperspace of nonempty closed sets of a topological space X, and showed that, if X is polonais, the Borel structure of is standard. We shall show that this conclusion will also follow if X is σ-compact and metrizable.
Key concepts: Hyperspace, Metrization theorem, Polish space, Space (punctuation), Mathematics, Topology (electrical circuits), Topological space, Borel set