Camillo Costantini
Abstract
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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.
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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: Metrization theorem, Hyperspace, Separable space, Polish space, Mathematics, Metric space, Combinatorics, Topology (electrical circuits)