Open and discrete maps with piecewise linear branch set images are piecewise linear maps
| dc.contributor.author | Luisto, Rami | |
| dc.contributor.author | Prywes, Eden | |
| dc.date.accessioned | 2020-12-09T07:21:01Z | |
| dc.date.available | 2020-12-09T07:21:01Z | |
| dc.date.issued | 2021 | |
| dc.identifier.citation | Luisto, R., & Prywes, E. (2021). Open and discrete maps with piecewise linear branch set images are piecewise linear maps. <i>Journal of the London Mathematical Society</i>, <i>103</i>(3), 1186-1207. <a href="https://doi.org/10.1112/jlms.12404" target="_blank">https://doi.org/10.1112/jlms.12404</a> | |
| dc.identifier.other | CONVID_47277678 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/73039 | |
| dc.description.abstract | The image of the branch set of a piecewise linear (PL)‐branched cover between PL 𝑛n‐manifolds is a simplicial (𝑛−2)(n−2)‐complex. We demonstrate that the reverse implication also holds: an open and discrete map 𝑓:𝕊𝑛→𝕊𝑛f:Sn→Sn with the image of the branch set contained in a simplicial (𝑛−2)(n−2)‐complex is equivalent up to homeomorphism to a PL‐branched cover. | en |
| dc.format.mimetype | application/pdf | |
| dc.language | eng | |
| dc.language.iso | eng | |
| dc.publisher | Wiley-Blackwell | |
| dc.relation.ispartofseries | Journal of the London Mathematical Society | |
| dc.rights | In Copyright | |
| dc.title | Open and discrete maps with piecewise linear branch set images are piecewise linear maps | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202012096981 | |
| 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.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 1186-1207 | |
| dc.relation.issn | 0024-6107 | |
| dc.relation.numberinseries | 3 | |
| dc.relation.volume | 103 | |
| dc.type.version | acceptedVersion | |
| dc.rights.copyright | © 2020 Wiley-Blackwell | |
| dc.rights.accesslevel | openAccess | fi |
| dc.relation.grantnumber | 713998 | |
| dc.relation.grantnumber | 713998 | |
| dc.relation.grantnumber | 288501 | |
| dc.relation.projectid | info:eu-repo/grantAgreement/EC/H2020/713998/EU//GeoMeG | |
| dc.subject.yso | topologia | |
| dc.subject.yso | funktioteoria | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p14067 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p18494 | |
| dc.rights.url | http://rightsstatements.org/page/InC/1.0/?language=en | |
| dc.relation.doi | 10.1112/jlms.12404 | |
| dc.relation.funder | European Commission | en |
| dc.relation.funder | Research Council of Finland | en |
| dc.relation.funder | Euroopan komissio | fi |
| dc.relation.funder | Suomen Akatemia | fi |
| jyx.fundingprogram | ERC Starting Grant | en |
| jyx.fundingprogram | Academy Research Fellow, AoF | en |
| jyx.fundingprogram | ERC Starting Grant | fi |
| jyx.fundingprogram | Akatemiatutkija, SA | fi |
| jyx.fundinginformation | The first author was partially supported by a grant of the Finnish Academy of Science and Letters, the Academy of Finland (grant 288501 ‘Geometry of subRiemannian groups’) and by the European Research Council (ERC Starting Grant 713998 GeoMeG ‘Geometry of Metric Groups’). | |
| dc.type.okm | A1 |
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