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

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

2010-10-20

arxiv.org/abs/1010.4271v1

Mathematics

Geometric Topology

Scientific paper

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).

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