Bing meets Sobolev
Autor: | Pekka Pankka, Jani Onninen |
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Přispěvatelé: | Department of Mathematics and Statistics |
Jazyk: | angličtina |
Rok vydání: | 2021 |
Předmět: |
Pure mathematics
Class (set theory) Sobolev homeomorphism General Mathematics 010102 general mathematics Fixed point set Metric Geometry (math.MG) Geometric Topology (math.GT) SPACES 01 natural sciences Sobolev space Mathematics - Geometric Topology Mathematics - Metric Geometry FOS: Mathematics wild involution 111 Mathematics 57S25 57R12 57N45 46E35 30C65 THEOREM Involution (philosophy) 0101 mathematics Mathematics APPROXIMATION |
Popis: | 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 $W^{1,p}(\mathbb S^3,\mathbb S^3)$. 17 pages, 10 figures |
Databáze: | OpenAIRE |
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