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The Wijsman hyperspace of a metric hereditarily Baire space is Baire
Authors:Jiling Cao  A.H. Tomita  
Affiliation:aSchool of Computing and Mathematical Sciences, Auckland University of Technology, Private Bag 92006, Auckland 1142, New Zealand;bDepartamento de Matemática, Institute of Mathematics and Statistics, University of São Paulo, Rua do Matão 1010, Cep 05508-090, São Paulo, Brazil
Abstract:In this paper, we show that the Wijsman hyperspace of a metric hereditarily Baire space is Baire. This solves a recent question posed by Zsilinszky.
Keywords:Baire   Choquet game   Feebly open   Hereditarily Baire   Pinched-cube topology   Tychonoff topology   Wijsman topology
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