Catching sets with quasicircles.

Paul MacManus

Revista Matemática Iberoamericana (1999)

  • Volume: 15, Issue: 2, page 267-276
  • ISSN: 0213-2230

Abstract

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We show how certain geometric conditions on a planar set imply that the set must lie on a quasicircle, and we give a geometric characterization of all subsets of the plane that are quasiconformally equivalent to the usual Cantor middle-third set.

How to cite

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MacManus, Paul. "Catching sets with quasicircles.." Revista Matemática Iberoamericana 15.2 (1999): 267-276. <http://eudml.org/doc/39569>.

@article{MacManus1999,
abstract = {We show how certain geometric conditions on a planar set imply that the set must lie on a quasicircle, and we give a geometric characterization of all subsets of the plane that are quasiconformally equivalent to the usual Cantor middle-third set.},
author = {MacManus, Paul},
journal = {Revista Matemática Iberoamericana},
keywords = {Recubrimientos topológicos; Dominios convexos; quasiconformal map; quasicircle; nul set; Cantor middle-third set},
language = {eng},
number = {2},
pages = {267-276},
title = {Catching sets with quasicircles.},
url = {http://eudml.org/doc/39569},
volume = {15},
year = {1999},
}

TY - JOUR
AU - MacManus, Paul
TI - Catching sets with quasicircles.
JO - Revista Matemática Iberoamericana
PY - 1999
VL - 15
IS - 2
SP - 267
EP - 276
AB - We show how certain geometric conditions on a planar set imply that the set must lie on a quasicircle, and we give a geometric characterization of all subsets of the plane that are quasiconformally equivalent to the usual Cantor middle-third set.
LA - eng
KW - Recubrimientos topológicos; Dominios convexos; quasiconformal map; quasicircle; nul set; Cantor middle-third set
UR - http://eudml.org/doc/39569
ER -

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