Linking topological spheres

Piotr Hajłasz

doi:10.4171/rlm/875

JournalsrlmVol. 30, No. 4pp. 907–909

Linking topological spheres

Piotr Hajłasz
University of Pittsburgh, USA

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Abstract

There is a topological embedding $ι : S^{1} \to R^{5}$ such that $π_{3} (R^{5} ∖ ι (S^{1})) = 0$ . Therefore, no 3-sphere can be linked with $ι (S^{1})$ .

Cite this article

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