2021/04/05 by Matija Cencelj, Dušan Repovš, Cencelj, M. +3
Engineering · Mathematics · #57Q35 #57Q37 #57R52 #57R65 #Advanced Topics in Algebra #Control and Dynamics of Mobile Robots #FOS: Mathematics #Geometric Topology (math.GT) #Mathematics and Applications #Primary: 57R40 #Secondary: 57R42
paper · pdf · doi:10.48550/arxiv.2104.01820
openalex publication_date 2021/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.