Knots and links in codimension greater than 2
type: Item
instance of: scholarly article
title: Knots and links in codimension greater than 2
zbMATH Open document ID: 0596.57021
DOI: 10.1016/0040-9383(86)90043-1
author: Nathan Habegger
published in: Topology
publication date: 1986-01-01T00:00:00Z
review text: This paper determines the classification of links with codimension greater than 2 in the manifold \(S^ 1\times R^{n-1}\), i.e. isotopy classes of imbeddings of \(S^{p_ 1}\cup... \cup S^{p_ r}\) in \(S^ 1\times R^{n-1}\) with \(p_ i\leq n-3\). The major tool involved is the use of surgery theory. Exact sequences relate the groups to classical knot and link groups.
Mathematics Subject Classification ID: 57R40
Mathematics Subject Classification ID: 57Q45
Mathematics Subject Classification ID: 57R65
Mathematics Subject Classification ID: 57M25
zbMATH DE Number: 3960577
zbMATH Keywords: classification of links with codimension greater than 2
zbMATH Keywords: \(S^ 1\times R^{n-1}\)
zbMATH Keywords: surgery theory
zbMATH Keywords: classical knot
zbMATH Keywords: link groups
MaRDI profile type: Publication
full work available at URL: 0040-9383(86)90043-1
OpenAlex ID: W1967711823
description: scientific article; zbMATH DE number 3960577