Search results for " 57R12"

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Bing meets Sobolev

2019

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 $W^{1,p}(\mathbb S^3,\mathbb S^3)$.

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 mathematicsMathematicsAPPROXIMATION
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