Revista Matemática Iberoamericana
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Catching sets with quasicirclesPaul MacManus (1) Department of Mathematics, National University of Ireland, Maynooth, Co. Kildare, Ireland
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.
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MacManus Paul: Catching sets with quasicircles. Rev. Mat. Iberoamericana 15 (1999), 267-277. doi: 10.4171/RMI/256