Embedding punctured n-manifolds in Euclidean (2n-1)-space

Dmitry Tonkonog

Embedding punctured n-manifolds in Euclidean (2n-1)-space

Geometric Topology 2010-10-21 v1 Algebraic Topology

Authors: Dmitry Tonkonog

Abstract

Let $N$ be a closed orientable connected $n$ -manifold, $n\ge 4$ . We classify embeddings of the punctured manifold $N_0$ into $\R^{2n-1}$ up to isotopy. Our result in some sense extends results of J.C. Becker -- H.H. Glover (1971) and O. Saeki (1999).

Keywords

metric embeddings

Cite

@article{arxiv.1010.4271,
  title  = {Embedding punctured n-manifolds in Euclidean (2n-1)-space},
  author = {Dmitry Tonkonog},
  journal= {arXiv preprint arXiv:1010.4271},
  year   = {2010}
}

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