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

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dc.creatorBishop, Christopher J.
dc.date1998-06-03
dc.date.accessioned2026-07-07T05:24:55Z
dc.date.available2026-07-07T05:24:55Z
dc.descriptionWe 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.
dc.description29 Pages, 39 PostScript figures
dc.identifierhttps://arxiv.org/abs/math/9806015
dc.identifierhttp://arxiv.org/abs/math/9806015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76994
dc.subjectComplex Variables
dc.subjectClassical Analysis and ODEs
dc.subject30C65
dc.titleNon-removable sets for quasiconformal and locally biLipschitz mappings in R^3
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