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dc.contributor.authorJoseph, Matthieu
dc.contributor.authorRajala, Tapio
dc.date.accessioned2017-11-22T08:31:35Z
dc.date.available2017-11-22T08:31:35Z
dc.date.issued2017
dc.identifier.citationJoseph, M., & Rajala, T. (2017). Products of snowflaked Euclidean lines are not minimal for looking down. <i>Analysis and Geometry in Metric Spaces</i>, <i>5</i>(1), 78-97. <a href="https://doi.org/10.1515/agms-2017-0005" target="_blank">https://doi.org/10.1515/agms-2017-0005</a>
dc.identifier.otherCONVID_27368745
dc.identifier.otherTUTKAID_75782
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/55974
dc.description.abstractWe show that products of snow aked Euclidean lines are not minimal for looking down. This question was raised in Fractured fractals and broken dreams, Problem 11.17, by David and Semmes. The proof uses arguments developed by Le Donne, Li and Rajala to prove that the Heisenberg group is not minimal for looking down. By a method of shortcuts, we de ne a new distance d such that the product of snow aked Euclidean lines looks down on (R N , d), but not vice versa.
dc.language.isoeng
dc.publisherDe Gruyter Open
dc.relation.ispartofseriesAnalysis and Geometry in Metric Spaces
dc.subject.otherAhlfors-regularity
dc.subject.otherbiLipschitz pieces
dc.subject.otherBPI-spaces
dc.titleProducts of snowflaked Euclidean lines are not minimal for looking down
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-201711204299
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.updated2017-11-20T10:15:05Z
dc.type.coarjournal article
dc.description.reviewstatuspeerReviewed
dc.format.pagerange78-97
dc.relation.issn2299-3274
dc.relation.numberinseries1
dc.relation.volume5
dc.type.versionpublishedVersion
dc.rights.copyright© 2017 Matthieu Joseph and Tapio Rajala, published by De Gruyter Open. This work is licensed under the Creative Commons Attribution-Non-Commercial-NoDerivs 4.0 License.
dc.rights.accesslevelopenAccessfi
dc.relation.grantnumber274372
dc.rights.urlhttps://creativecommons.org/licenses/by/4.0/
dc.relation.doi10.1515/agms-2017-0005
dc.relation.funderSuomen Akatemiafi
dc.relation.funderAcademy of Finlanden
jyx.fundingprogramAkatemiatutkijan tehtävä, SAfi
jyx.fundingprogramResearch post as Academy Research Fellow, AoFen
jyx.fundinginformationM.J. is supported by Erasmus and ExploRA’Sup grants. T.R. is supported by the Academy of Finland project no. 274372.


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© 2017 Matthieu Joseph and Tapio Rajala, published by De Gruyter Open. This work is licensed under the Creative
Commons Attribution-Non-Commercial-NoDerivs 4.0 License.
Except where otherwise noted, this item's license is described as © 2017 Matthieu Joseph and Tapio Rajala, published by De Gruyter Open. This work is licensed under the Creative Commons Attribution-Non-Commercial-NoDerivs 4.0 License.