JournalsrmiVol. 37, No. 5pp. 1897–1916

Bing meets Sobolev

  • Jani Onninen

    Syracuse University, USA and University of Jyväskylä, Finland
  • Pekka Pankka

    University of Helsinki, Finland
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Abstract

We show that, for each 1p<21\le p < 2, there exists a wild involution S3S3\mathbb{S}^3\to \mathbb{S}^3 in the Sobolev class W1,p(S3,S3)W^{1,p}(\mathbb{S}^3,\mathbb{S}^3).

Cite this article

Jani Onninen, Pekka Pankka, Bing meets Sobolev. Rev. Mat. Iberoam. 37 (2021), no. 5, pp. 1897–1916

DOI 10.4171/RMI/1252