Catching sets with quasicircles

  • Paul MacManus

    National University of Ireland, Maynooth, 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.

Cite this article

Paul MacManus, Catching sets with quasicircles. Rev. Mat. Iberoam. 15 (1999), no. 2, pp. 267–277

DOI 10.4171/RMI/256