<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-06-08T23:15:38Z</responseDate><request verb="GetRecord" identifier="oai:docta.ucm.es:20.500.14352/58631" metadataPrefix="qdc">https://docta.ucm.es/rest/oai/request</request><GetRecord><record><header><identifier>oai:docta.ucm.es:20.500.14352/58631</identifier><datestamp>2025-01-20T16:46:43Z</datestamp><setSpec>com_20.500.14352_14</setSpec><setSpec>col_20.500.14352_15</setSpec></header><metadata><qdc:qualifieddc xmlns:qdc="http://dspace.org/qualifieddc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://purl.org/dc/elements/1.1/ http://dublincore.org/schemas/xmls/qdc/2006/01/06/dc.xsd http://purl.org/dc/terms/ http://dublincore.org/schemas/xmls/qdc/2006/01/06/dcterms.xsd http://dspace.org/qualifieddc/ http://www.ukoln.ac.uk/metadata/dcmi/xmlschema/qualifieddc.xsd">
   <dc:title>A note on porosity and the Mazur intersection property</dc:title>
   <dc:creator>Jiménez Sevilla, María Del Mar</dc:creator>
   <dc:creator>Moreno, José Pedro</dc:creator>
   <dcterms:abstract>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.</dcterms:abstract>
   <dcterms:dateAccepted>2023-06-20T18:47:34Z</dcterms:dateAccepted>
   <dcterms:available>2023-06-20T18:47:34Z</dcterms:available>
   <dcterms:created>2023-06-20T18:47:34Z</dcterms:created>
   <dcterms:issued>2000-12</dcterms:issued>
   <dc:type>journal article</dc:type>
   <dc:identifier>https://hdl.handle.net/20.500.14352/58631</dc:identifier>
   <dc:identifier>0025-5793</dc:identifier>
   <dc:identifier>10.1112/S0025579300015874</dc:identifier>
   <dc:language>eng</dc:language>
   <dc:relation>PB 96-0607</dc:relation>
   <dc:rights>restricted access</dc:rights>
   <dc:publisher>Cambridge Univ. Press</dc:publisher>
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