Nonremovable Cantor Sets for Bounded Quasiregular Mappings

  title={Nonremovable Cantor Sets for Bounded Quasiregular Mappings},
  author={Frederick W. Gehring and Seppo Rickman},
Recently T. Iwaniec and G. Martin gave the rst results where sets of positive Hausdorr dimension are removable for bounded quasiregular mappings. Here we prove a converse and show that for each > 0 there exists a Cantor set E in R 3 with Hausdorr dimension dim H E and a bounded K()-quasiregular mapping f: R 3 n E ! R 3 that does not extend continuously to any point of E . 

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p -harmonic tensors and quasiregular mappings

T. Iwaniec
Ann. of Math. 136, • 1992

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