6533b838fe1ef96bd12a3d57
RESEARCH PRODUCT
Bing meets Sobolev
Pekka PankkaJani Onninensubject
Pure mathematicsClass (set theory)Sobolev homeomorphismGeneral Mathematics010102 general mathematicsFixed point setMetric Geometry (math.MG)Geometric Topology (math.GT)SPACES01 natural sciencesSobolev spaceMathematics - Geometric TopologyMathematics - Metric GeometryFOS: Mathematicswild involution111 Mathematics57S25 57R12 57N45 46E35 30C65THEOREMInvolution (philosophy)0101 mathematicsMathematicsAPPROXIMATIONdescription
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 $W^{1,p}(\mathbb S^3,\mathbb S^3)$.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-08-24 |