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oai:docta.ucm.es:20.500.14352/586312025-01-20T16:46:43Zcom_20.500.14352_14col_20.500.14352_15

A note on porosity and the Mazur intersection property Jiménez Sevilla, María Del Mar Moreno, José Pedro The authors wish to thank the C.E.C.M., the Department of Mathematics and Statistics of the Simon Fraser University and specially J. Borwein for their hospitality during the preparation of this note. We also thank the referee for valuable suggestions improving its readability Let M be the collection of all intersections of balls, considered as a subset of the hyperspace H of all closed, convex and bounded sets of a Banach space, furnished with the Hausdorff metric. We prove that M is uniformly very porous if and only if the space fails the Mazur intersection property. 2023-06-20T18:47:34Z 2023-06-20T18:47:34Z 2000-12 journal article 0025-5793 10.1112/S0025579300015874 https://hdl.handle.net/20.500.14352/58631 http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=7015048 http://journals.cambridge.org/action/login?sessionId=9C965789AD5BE3B591E6AECA8AF3884E.journals eng PB 96-0607 restricted access Cambridge Univ. Press