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Non-separating immersions of spheres and Bing houses

Geometric Topology 2020-01-22 v2 Differential Geometry
Authors: Michael Freedman , T. Tam Nguyen Phan
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Abstract

We construct Bing houses in all dimensions n≥3n \geq 3, obtaining non-separating PL immersions of Sn→Rn+1\mathbb{S}^n \rightarrow\mathbb{R}^{n+1}.

Keywords

non-separating immersions bing houses pl immersions spheres dimensions

Cite

@article{arxiv.1911.08858,
  title  = {Non-separating immersions of spheres and Bing houses},
  author = {Michael Freedman and T. Tam Nguyen Phan},
  journal= {arXiv preprint arXiv:1911.08858},
  year   = {2020}
}

Comments

16 pages, 17 figures. Appendix added

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