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Amsterdam properties of Wijsman hyperspaces

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American Mathematical Society

Abstract

In this paper we show the following results: (i) there exists a separable metric space of the first category whose Wijsman hyperspace is almost countably subcompact; (ii) there exists a σ-discrete crowded metric space whose Wijsman hyperspace is countably base-compact. Neither of these can occur with Vietoris hyperspaces.

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Proceedings of the American Mathematical Society, vol.138(2), pp.769 - 776

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