English

On the Browder-Levine-Novikov embedding theorems

Geometric Topology 2021-04-06 v1

Abstract

In this survey we present applications of the ideas of complement and neighborhood in the theory embeddings of manifolds into Euclidean space (in codimension at least three). We describe how the combination of these ideas gives a reduction of embeddability and isotopy problems to algebraic problems. We present a more clarified exposition of the Browder-Levine theorem on realization of normal systems. Most of the survey is accessible to non-specialists in the theory of embeddings.

Keywords

Cite

@article{arxiv.2104.01820,
  title  = {On the Browder-Levine-Novikov embedding theorems},
  author = {M. Cencelj and D. Repovš and A. Skopenkov},
  journal= {arXiv preprint arXiv:2104.01820},
  year   = {2021}
}

Comments

13 pages, 1 figure

R2 v1 2026-06-24T00:51:02.309Z