On the Browder–Levine–Novikov Embedding Theorems

In this survey, we apply the concepts of complement and neighborhood to embeddings of manifolds into Euclidean space (in a codimension of at least three). We describe how a combination of these concepts gives a reduction of the embeddability and isotopy problems to algebraic problems. We also present a modern exposition of the Browder–Levine theorem on the realization of normal systems.