Revista Matemática Iberoamericana

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Volume 15, Issue 2, 1999, pp. 267–277
DOI: 10.4171/RMI/256

Catching sets with quasicircles

Paul MacManus[1]

(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