A ''piecewise-linear'' method for triangulating 3-manifolds
type: Item
instance of: scholarly article
title: A ''piecewise-linear'' method for triangulating 3-manifolds
zbMATH Open document ID: 0542.57014
DOI: 10.1016/0001-8708(84)90050-1
author: Peter B. Shalen
published in: Advances in Mathematics
publication date: 1984-01-01T00:00:00Z
review text: The author utilizes Dehn's lemma, the loop theorem and standard PL techniques to prove an approximation theorem which implies the Hauptvermutung for 3-manifolds with boundary or without and the triangulation theorem.
Mathematics Subject Classification ID: 57Q15
Mathematics Subject Classification ID: 57Q25
Mathematics Subject Classification ID: 57N10
Mathematics Subject Classification ID: 57Q55
Mathematics Subject Classification ID: 57Q35
Mathematics Subject Classification ID: 57M35
zbMATH DE Number: 3862053
zbMATH Keywords: triangulating 3-manifolds
zbMATH Keywords: Hauptvermutung for 3-manifolds
zbMATH Keywords: PL- approximations of homeomorphisms
zbMATH Keywords: Dehn's lemma
zbMATH Keywords: loop theorem
reviewed by: Lee P. Neuwirth
MaRDI profile type: Publication
full work available at URL: 0001-8708(84)90050-1
OpenAlex ID: W2041765223
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description: scientific article; zbMATH DE number 3862053