Plenty of big projections imply big pieces of Lipschitz graphs
| dc.contributor.author | Orponen, Tuomas | |
| dc.date.accessioned | 2021-07-01T11:32:08Z | |
| dc.date.available | 2021-07-01T11:32:08Z | |
| dc.date.issued | 2021 | |
| dc.identifier.citation | Orponen, T. (2021). Plenty of big projections imply big pieces of Lipschitz graphs. <i>Inventiones Mathematicae</i>, <i>226</i>(2), 653-709. <a href="https://doi.org/10.1007/s00222-021-01055-z" target="_blank">https://doi.org/10.1007/s00222-021-01055-z</a> | |
| dc.identifier.other | CONVID_97895696 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/76951 | |
| dc.description.abstract | I prove that closed n-regular sets E⊂Rd with plenty of big projections have big pieces of Lipschitz graphs. In particular, these sets are uniformly n-rectifiable. This answers a question of David and Semmes from 1993. | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Springer | |
| dc.relation.ispartofseries | Inventiones Mathematicae | |
| dc.rights | CC BY 4.0 | |
| dc.subject.other | projection | |
| dc.title | Plenty of big projections imply big pieces of Lipschitz graphs | |
| dc.type | research article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202107014138 | |
| dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
| dc.contributor.laitos | Department of Mathematics and Statistics | en |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
| dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 653-709 | |
| dc.relation.issn | 0020-9910 | |
| dc.relation.numberinseries | 2 | |
| dc.relation.volume | 226 | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | © The Author(s) 2021 | |
| dc.rights.accesslevel | openAccess | fi |
| dc.type.publication | article | |
| dc.subject.yso | projektio (mallinnus) | |
| dc.subject.yso | matemaattinen analyysi | |
| dc.subject.yso | mittateoria | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p8992 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p19485 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p13386 | |
| dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
| dc.relation.doi | 10.1007/s00222-021-01055-z | |
| jyx.fundinginformation | Open access funding provided by University of Jyväskylä (JYU). | |
| dc.type.okm | A1 |
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