Bing meets Sobolev

2019/08/24 by Onninen, Jani, Pankka, Pekka · 1 citation
#30C65 #46E35 #57N45 #57R12 #57S25 #FOS: Mathematics #Geometric Topology (math.GT) #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1908.09193

Abstract

We show that, for each 1≤ p < 2, there exists a wild involution \mathbb S³→ \mathbb S³ in the Sobolev class W^1,p(\mathbb S³,\mathbb S³).

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