Advanced Search
Home > Journals > Geom. Topol. > Volume 11 > Issue 1 > Article
Open Access
2007 Extending homeomorphisms of the circle to quasiconformal homeomorphisms of the disk
David Epstein, Vladimir Markovic
Geom. Topol. 11(1): 517-595 (2007). DOI: 10.2140/gt.2007.11.517

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.

Citation

Download Citation

David Epstein. Vladimir Markovic. "Extending homeomorphisms of the circle to quasiconformal homeomorphisms of the disk." Geom. Topol. 11 (1) 517 - 595, 2007. https://doi.org/10.2140/gt.2007.11.517

Information

Received: 28 September 2006; Accepted: 14 February 2007; Published: 2007
First available in Project Euclid: 20 December 2017

zbMATH: 1154.30012
MathSciNet: MR2302497
Digital Object Identifier: 10.2140/gt.2007.11.517

Subjects:
Primary: 30C62 , 37E10 , 37E30
Secondary: 57M50 , 57M60

Keywords: circle , group actions in low dimensions , homeomorphisms and diffeomorphisms of planes and surfaces , low-dimensional manifolds , maps of the circle , Quasiconformal , quasiconformal mappings in the plane , quasisymmetric

Rights: Copyright © 2007 Mathematical Sciences Publishers

JOURNAL ARTICLE
 79 PAGES
DOWNLOAD PDF + SAVE TO MY LIBRARY
GET CITATION
< Previous Article
|
Next Article >
Vol.11 • No. 1 • 2007
MSP
Subscribe to Project Euclid
Receive erratum alerts for this article
Back to Top