Catching sets with quasicircles
Paul MacManus
National University of Ireland, Maynooth, Ireland
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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.
Cite this article
Paul MacManus, Catching sets with quasicircles. Rev. Mat. Iberoam. 15 (1999), no. 2, pp. 267–277
DOI 10.4171/RMI/256