English

Linking topological spheres

Geometric Topology 2019-06-06 v1

Abstract

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 33-sphere can be linked with ι(S1)\iota(\mathbb{S}^1).

Cite

@article{arxiv.1906.01771,
  title  = {Linking topological spheres},
  author = {Piotr Hajłasz},
  journal= {arXiv preprint arXiv:1906.01771},
  year   = {2019}
}
R2 v1 2026-06-23T09:42:26.746Z