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. 267–277DOI 10.4171/RMI/256