Bing meets Sobolev

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Abstract

We show that, for each $1 \leq p < 2$ , there exists a wild involution $S^{3} \to S^{3}$ in the Sobolev class $W^{1, p} (S^{3}, S^{3})$ .

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