Linking topological spheres

  • Piotr Hajłasz

    University of Pittsburgh, USA
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There is a topological embedding ι:S1R5\iota:\mathbb S^1\to\mathbb R^5 such that π3(R5ι(S1))=0\pi_3(\mathbb R^5\setminus\iota(\mathbb S^1))=0. Therefore, no 3-sphere can be linked with ι(S1)\iota(\mathbb S^1).

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Piotr Hajłasz, Linking topological spheres. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 30 (2019), no. 4, pp. 907–909

DOI 10.4171/RLM/875