Every Wijsman Topology Relative to a Polish Space is Polish
C. Costantini
Abstract
C. Costantini
Abstract
Generalizing a result of G. Beer and a result of E. Effros, we show that if (X, d) is a separable and completely metrizable metric space, then the hyperspace of X endowed with the Wijsman topology is separable and completely metrizable.
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Generalizing a result of G. Beer and a result of E. Effros, we show that if (X, d) is a separable and completely metrizable metric space, then the hyperspace of X endowed with the Wijsman topology is separable and completely metrizable.
Key concepts: Hyperspace, Metrization theorem, Separable space, Polish space, Mathematics, Metric space, Topology (electrical circuits), Space (punctuation)