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

preprint2010arXivOpen access

Abstract

Let NN be a closed orientable connected nn-manifold, n≥4n\ge 4. We classify embeddings of the punctured manifold N0N_0 into R2n−1\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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