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dc.contributor.authorKetterer, Christian
dc.contributor.authorRajala, Tapio
dc.date.accessioned2015-08-24T11:14:29Z
dc.date.available2015-11-06T22:45:04Z
dc.date.issued2015
dc.identifier.citationKetterer, C., & Rajala, T. (2015). Failure of Topological Rigidity Results for the Measure Contraction Property. <i>Potential Analysis</i>, <i>42</i>(3), 645-655. <a href="https://doi.org/10.1007/s11118-014-9450-5" target="_blank">https://doi.org/10.1007/s11118-014-9450-5</a>
dc.identifier.otherCONVID_24011750
dc.identifier.otherTUTKAID_63846
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/46694
dc.description.abstractWe give two examples of metric measure spaces satisfying the measure contraction property MCP(K, N) but having different topological dimensions at different regions of the space. The first one satisfies MCP(0, 3) and contains a subset isometric to R, but does not topologically split. The second space satisfies MCP(2, 3) and has diameter π, which is the maximal possible diameter for a space satisfying MCP(N − 1, N), but is not a topological spherical suspension. The latter example gives an answer to a question by Ohta.
dc.language.isoeng
dc.publisherSpringer Netherlands
dc.relation.ispartofseriesPotential Analysis
dc.subject.othergeodesics
dc.subject.othermaximal diameter theorem
dc.subject.othermeasure contraction property
dc.subject.othermetric measure spaces
dc.subject.othernonbranching
dc.subject.otherRicci curvature lower bounds
dc.subject.othersplitting theorem
dc.titleFailure of Topological Rigidity Results for the Measure Contraction Property
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-201508182693
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineMatematiikkafi
dc.contributor.oppiaineMathematicsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.date.updated2015-08-18T09:15:09Z
dc.type.coarjournal article
dc.description.reviewstatuspeerReviewed
dc.format.pagerange645-655
dc.relation.issn0926-2601
dc.relation.numberinseries3
dc.relation.volume42
dc.type.versionacceptedVersion
dc.rights.copyright© Springer Science+Business Media Dordrecht 2014. This is a final draft version of an article whose final and definitive form has been published by Springer. Published in this repository with the kind permission of the publisher.
dc.rights.accesslevelopenAccessfi
dc.relation.doi10.1007/s11118-014-9450-5


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