Cao, JJunnila, HJK2011-11-112011-12-192012-03-272012-03-272012-03-272011-11-112011-12-192012-03-272012-03-272012-03-2720102010Proceedings of the American Mathematical Society, vol.138(2), pp.769 - 7760002-9939https://hdl.handle.net/10292/3516In 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.© 2011 American Mathematical Society. Copyright, database rights, and all other intellectual property rights in the contents of the American Mathematical Society website, www.ams.org., throughout the world are the exclusive property of the American Mathematical Society (“AMS”), except for content that is clearly user-generated and is posted by persons other than employees and officers of the AMS.Baire spaceBall topologyPseudocompleteSubcompactWijsman topologyJournal ArticleOpenAccess10.1090/S0002-9939-09-10072-2