Mappings of Finite Distortion : Compactness of the Branch Set
| dc.contributor.author | Kauranen, Aapo | |
| dc.contributor.author | Luisto, Rami | |
| dc.contributor.author | Tengvall, Ville | |
| dc.date.accessioned | 2018-06-29T11:18:50Z | |
| dc.date.available | 2018-06-29T11:18:50Z | |
| dc.date.issued | 2018 | fi |
| dc.identifier.citation | Kauranen, A., Luisto, R., & Tengvall, V. (2018). Mappings of Finite Distortion : Compactness of the Branch Set. Preprint. | fi |
| dc.identifier.other | TUTKAID_78117 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/58809 | |
| dc.description.abstract | We show that an entire branched cover of finite distortion cannot have a compact branch set if its distortion satisfies a certain asymptotic growth condition. We furthermore show that this bound is strict by constructing an entire, continuous, open and discrete mapping of finite distortion which is piecewise smooth, has a branch set homeomorphic to (n − 2)-dimensional torus and distortion arbitrarily close to the asymptotic bound. | fi |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.rights | In Copyright | |
| dc.subject.other | finite distortion | fi |
| dc.subject.other | branch sets | fi |
| dc.title | Mappings of Finite Distortion : Compactness of the Branch Set | fi |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-201806283377 | |
| dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
| dc.contributor.laitos | Department of Mathematics and Statistics | en |
| dc.contributor.oppiaine | Matematiikka | |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
| dc.date.updated | 2018-06-28T06:15:12Z | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | ? | |
| dc.relation.numberinseries | ? | |
| dc.relation.volume | ? | |
| dc.type.version | submittedVersion | |
| dc.rights.copyright | © the Authors, 2018. | |
| dc.rights.accesslevel | openAccess | fi |
| dc.format.content | fulltext | |
| dc.rights.url | http://rightsstatements.org/page/InC/1.0/?language=en |
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