Epstein, David and Markovic, Vladimir (2007) Extending homeomorphisms of the circle to quasiconformal homeomorphisms of the disk. Geometry and Topology, 11 (1). pp. 517-595. ISSN 1465-3060. doi:10.2140/gt.2007.11.517. https://resolver.caltech.edu/CaltechAUTHORS:20170505-154841331
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Abstract
We prove that it is not possible to extend, in a homomorphic fashion, each quasisymmetric homeomorphism of the circle to a quasiconformal homeomorphism of the disk.
| Item Type: | Article | |||||||||
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| Additional Information: | © 2007 Mathematical Sciences Publishers. Received: 28 September 2006; Accepted: 14 February 2007; Published: 16 March 2007. | |||||||||
| Subject Keywords: | quasiconformal, quasisymmetric, circle, low-dimensional manifolds, group actions in low dimensions, quasiconformal mappings in the plane, maps of the circle, homeomorphisms and diffeomorphisms of planes and surfaces | |||||||||
| Issue or Number: | 1 | |||||||||
| Classification Code: | MSC 2000: Primary: 30C62, 37E10, 37E30; Secondary: 57M50, 57M60. | |||||||||
| DOI: | 10.2140/gt.2007.11.517 | |||||||||
| Record Number: | CaltechAUTHORS:20170505-154841331 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170505-154841331 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 77243 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 05 May 2017 22:58 | |||||||||
| Last Modified: | 15 Nov 2021 17:29 |
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