Topological Complexity and Related Topics

This volume contains the proceedings of the mini-workshop on Topological Complexity and Related Topics, held from February 28-March 5, 2016, at the Mathematisches Forschungsinstitut Oberwolfach. Topological complexity is a numerical homotopy invariant, defined by Farber in the early twenty-first cen...

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Bibliographic Details
Main Authors Grant, Mark, Lupton, Gregory, Vandembroucq, Lucile
Format eBook
LanguageEnglish
Published Providence American Mathematical Society 2018
Edition1
SeriesContemporary mathematics
Subjects
Algebraic topology
Topology
Online AccessGet full text
ISBN1470434369
9781470434366

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Summary:This volume contains the proceedings of the mini-workshop on Topological Complexity and Related Topics, held from February 28-March 5, 2016, at the Mathematisches Forschungsinstitut Oberwolfach. Topological complexity is a numerical homotopy invariant, defined by Farber in the early twenty-first century as part of a topological approach to the motion planning problem in robotics. It continues to be the subject of intensive research by homotopy theorists, partly due to its potential applicability, and partly due to its close relationship to more classical invariants, such as the Lusternik-Schnirelmann category and the Schwarz genus. This volume contains survey articles and original research papers on topological complexity and its many generalizations and variants, to give a snapshot of contemporary research on this exciting topic at the interface of pure mathematics and engineering.
ISBN:1470434369
9781470434366