Every Wijsman topology relative to a Polish space is Polish

Author:

Costantini C.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference9 articles.

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2. The hyperspace of an analytic metrizable space is analytic;Barbati, Alberto;Rend. Istit. Mat. Univ. Trieste,1993

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5. Metrics that generate the same hyperspace convergence;Costantini, C.;Set-Valued Anal.,1993

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