On reducible Dehn surgery
type: Item
instance of: scholarly article
zbMATH Open document ID: 0972.57008
author: Ruifeng Qiu
publication date: 2001-11-13T00:00:00Z
Mathematics Subject Classification ID: 57M25
Mathematics Subject Classification ID: 57R65
Mathematics Subject Classification ID: 57N10
zbMATH DE Number: 1623635
zbMATH Keywords: cabling conjecture
zbMATH Keywords: cable knot
MaRDI profile type: Publication
title: On reducible Dehn surgery
published in: Chinese Quarterly Journal of Mathematics
review text: The author proves that for a certain class of knots, which includes, for example, all knots \(K\) which are a union of two nonsplitting tangles, the cabling conjecture is true. This conjecture states that, if the manifold obtained by Dehn surgery on a knot \(K\) in the 3-sphere is reducible, then \(K\) is a cable knot.
description: scientific article; zbMATH DE number 1623635