Non-removable sets for quasiconformal and locally biLipschitz mappings in R^3

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We give an example of a totally disconnected set E in R^3 which is not removable for quasiconformal homeomorphisms, i.e., there is a homeomorphism f of R^3 to itself which is quasiconformal off E, but not quasiconformal on all of R^3. The set E may be taken with Hausdorff dimension 2. The construction also gives a non-removable set for locally biLipschitz homeomorphisms.
29 Pages, 39 PostScript figures

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Complex Variables, Classical Analysis and ODEs, 30C65

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http://salesiana.dossiersoluciones.com/handle/123456789/76994

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9806015
 http://arxiv.org/abs/math/9806015

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arXiv