Bing meets Sobolev

Jani Onninen, Pekka Pankka

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