Bounded, separating, incompressible surfaces in knot manifolds
type: Item
instance of: scholarly article
title: Bounded, separating, incompressible surfaces in knot manifolds
zbMATH Open document ID: 0542.57011
DOI: 10.1007/BF01388642
author: Marc Culler
author: Peter B. Shalen
published in: Inventiones Mathematicae
publication date: 1984-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/143109
review text: The author proves the existence of the object in the title as an application of more general results. As a consequence he verifies a 20 year old conjecture of the reviewer: Every knot group is a free product with amalgamation in a non-trivial way, with the amalgamating subgroup free.
Mathematics Subject Classification ID: 57N10
Mathematics Subject Classification ID: 57M25
Mathematics Subject Classification ID: 20E06
Mathematics Subject Classification ID: 57M05
zbMATH DE Number: 3862050
zbMATH Keywords: incompressible suface
zbMATH Keywords: knot group
zbMATH Keywords: free product with amalgamation
reviewed by: Lee P. Neuwirth
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3862050