Satellite (1,1)-knots and meridionally incompressible surfaces
type: Item
instance of: scholarly article
title: Satellite (1,1)-knots and meridionally incompressible surfaces
zbMATH Open document ID: 1068.57007
author: Toshio Saito
published in: Topology and its Applications
publication date: 2005-06-01T00:00:00Z
review text: The author shows there is one isotopy class of closed, orientable, essential meridionally (sic) incompressible surfaces in the exterior of a satellite (1,1) knot in \(S^3\); namely, the one containing the essential torus. The (1,1)-splittings of such a knot are characterized.
reviewed by: Lee P. Neuwirth
Mathematics Subject Classification ID: 57M25
Mathematics Subject Classification ID: 57N10
zbMATH DE Number: 2172997
zbMATH Keywords: satellite knot
zbMATH Keywords: incompressible surface
zbMATH Keywords: essential torus
MaRDI profile type: Publication
full work available at URL: j.topol.2004.07.015
OpenAlex ID: W1988238119
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DOI: 10.1016/J.TOPOL.2004.07.015
description: scientific article; zbMATH DE number 2172997