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

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