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

Abstract

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

References in corpus (1)

• Embedding and knotting of manifolds in Euclidean spaces

Cited by in corpus (1)

• A description of values of Seifert form for punctured n-manifolds in (2n-1)-space