Jiménez Sevilla, María Del MarMoreno, José Pedro2023-06-202023-06-202000-120025-579310.1112/S0025579300015874https://hdl.handle.net/20.500.14352/58631The 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 readabilityLet 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.engjournal articlehttp://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=7015048http://journals.cambridge.org/action/login?sessionId=9C965789AD5BE3B591E6AECA8AF3884E.journalsrestricted access512PorosityConvex bodiesMazur intersection propertyÁlgebra1201 Álgebra