The geometry of configuration spaces for closed chains in two and three dimensions
type: Item
instance of: scholarly article
title: The geometry of configuration spaces for closed chains in two and three dimensions
zbMATH Open document ID: 1065.55010
author: R. James Milgram
author: Jeffrey C. Trinkle
published in: Homology, Homotopy and Applications
publication date: 2005-04-05T00:00:00Z
full work available at URL: https://eudml.org/doc/51416
full work available at URL: volume6-1.htm
review text: The authors describe the topological structure of various linkages in \(E^n\). One object of study is an arbitrary subspace of configurations of points in \(E^n\) consisting of those configurations which correspond to the vertices of a (possibly singular) polygon with fixed side lengths. The homeomorphism type of this space (and others) depends on the lengths, but, as it is remarked, not their order. The possible homeomorphism types are made quite explicit. Other linkages studied, for example, allow one side to vary in length. Applications to robotics are discussed.
reviewed by: Lee P. Neuwirth
Mathematics Subject Classification ID: 55R80
Mathematics Subject Classification ID: 14P05
Mathematics Subject Classification ID: 68T40
zbMATH DE Number: 2153112
zbMATH Keywords: configuration space
zbMATH Keywords: linkage
MaRDI profile type: Publication
DOI: 10.4310/HHA.2004.V6.N1.A14
description: scientific article; zbMATH DE number 2153112