Products of snowflaked Euclidean lines are not minimal for looking down
| dc.contributor.author | Joseph, Matthieu | |
| dc.contributor.author | Rajala, Tapio | |
| dc.date.accessioned | 2017-11-22T08:31:35Z | |
| dc.date.available | 2017-11-22T08:31:35Z | |
| dc.date.issued | 2017 | |
| dc.identifier.citation | Joseph, 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.other | CONVID_27368745 | |
| dc.identifier.other | TUTKAID_75782 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/55974 | |
| dc.description.abstract | We 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.iso | eng | |
| dc.publisher | De Gruyter Open | |
| dc.relation.ispartofseries | Analysis and Geometry in Metric Spaces | |
| dc.subject.other | Ahlfors-regularity | |
| dc.subject.other | biLipschitz pieces | |
| dc.subject.other | BPI-spaces | |
| dc.title | Products of snowflaked Euclidean lines are not minimal for looking down | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-201711204299 | |
| dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
| dc.contributor.laitos | Department of Mathematics and Statistics | en |
| dc.contributor.oppiaine | Matematiikka | fi |
| dc.contributor.oppiaine | Mathematics | en |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
| dc.date.updated | 2017-11-20T10:15:05Z | |
| dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 78-97 | |
| dc.relation.issn | 2299-3274 | |
| dc.relation.numberinseries | 1 | |
| dc.relation.volume | 5 | |
| dc.type.version | publishedVersion | |
| 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.accesslevel | openAccess | fi |
| dc.relation.grantnumber | 274372 | |
| dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
| dc.relation.doi | 10.1515/agms-2017-0005 | |
| dc.relation.funder | Suomen Akatemia | fi |
| dc.relation.funder | Research Council of Finland | en |
| jyx.fundingprogram | Akatemiatutkija, SA | fi |
| jyx.fundingprogram | Academy Research Fellow, AoF | en |
| jyx.fundinginformation | M.J. is supported by Erasmus and ExploRA’Sup grants. T.R. is supported by the Academy of Finland project no. 274372. | |
| dc.type.okm | A1 |
Aineistoon kuuluvat tiedostot
Aineisto kuuluu seuraaviin kokoelmiin
Ellei muuten mainita, aineiston lisenssi on © 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.