Every Wijsman topology relative to a Polish space is Polish

Costantini, C.

doi:10.1090/S0002-9939-1995-1273484-5

Every Wijsman topology relative to a Polish space is Polish
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Proc. Amer. Math. Soc. 123 (1995), 2569-2574 Request permission

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.

References

Strutture boreliane sugli iperspazi

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