Embedding punctured n-manifolds in Euclidean (2n-1)-space
classification
🧮 math.GT
math.AT
keywords
manifoldpuncturedbeckerclassifyclosedconnectedembeddingembeddings
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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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