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Every Wijsman topology relative to a Polish space is Polish

Author: C. Costantini
Journal: Proc. Amer. Math. Soc. 123 (1995), 2569-2574
MSC: Primary 54B20; Secondary 54D65, 54E50
MathSciNet review: 1273484
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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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Keywords: Wijsman topology, Polish space, completely metrizable space, $ {G_\delta }$-subset
Article copyright: © Copyright 1995 American Mathematical Society

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