dc.contributor.author | Pankka, Pekka | |
dc.contributor.author | Wu, Jang-Mei | |
dc.date.accessioned | 2016-01-11T06:01:26Z | |
dc.date.available | 2016-01-11T06:01:26Z | |
dc.date.issued | 2014 | |
dc.identifier.citation | Pankka, P., & Wu, J.-M. (2014). Geometry and quasisymmetric parametrization of Semmes spaces. <i>Revista matematica Iberoamericana</i>, <i>30</i>(3), 893-960. <a href="https://doi.org/10.4171/rmi/802" target="_blank">https://doi.org/10.4171/rmi/802</a> | |
dc.identifier.other | CONVID_24024378 | |
dc.identifier.other | TUTKAID_63914 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/48297 | |
dc.description.abstract | We consider decomposition spaces R
3
/G that are manifold
factors and admit defining sequences consisting of cubes-with-handles
of finite type. Metrics on R
3
/G constructed via modular embeddings
of R
3
/G into a Euclidean space promote the controlled topology to a
controlled geometry.
The quasisymmetric parametrizability of the metric space R
3
/G×R
m
by R
3+m for any m ≥ 0 imposes quantitative topological constraints, in
terms of the circulation and the growth of the cubes-with-handles, on
the defining sequences for R
3
/G. We give a necessary condition and a
sufficient condition for the existence of such a parametrization.
The necessary condition answers negatively a question of Heinonen
and Semmes on quasisymmetric parametrizability of spaces associated
to the Bing double. The sufficient condition gives new examples of
quasispheres in S
4
. | |
dc.language.iso | eng | |
dc.publisher | European Mathematical Society Publishing House; Real Sociedad Matematica Espanola | |
dc.relation.ispartofseries | Revista matematica Iberoamericana | |
dc.subject.other | decomposition space | |
dc.subject.other | parametrization | |
dc.subject.other | quasisphere | |
dc.subject.other | quasisymmetry | |
dc.title | Geometry and quasisymmetric parametrization of Semmes spaces | |
dc.type | article | |
dc.identifier.urn | URN:NBN:fi:jyu-201601111056 | |
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 | 2016-01-11T04:15:17Z | |
dc.type.coar | journal article | |
dc.description.reviewstatus | peerReviewed | |
dc.format.pagerange | 893-960 | |
dc.relation.issn | 0213-2230 | |
dc.relation.numberinseries | 3 | |
dc.relation.volume | 30 | |
dc.type.version | acceptedVersion | |
dc.rights.copyright | © 2014 European Mathematical Society. This is a final draft version of an article whose final and definitive form has been published by EMS. Published in this repository with the kind permission of the publisher. | |
dc.rights.accesslevel | openAccess | fi |
dc.relation.doi | 10.4171/rmi/802 | |