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Topological Complexity and Related Topics

Contemporary Mathematics

Format: Paperback / softback
Publisher: American Mathematical Society, Providence, United States
Published: 30th Mar 2018
Dimensions: w 178mm h 254mm d 20mm
Weight: 272g
ISBN-10: 1470434369
ISBN-13: 9781470434366
Barcode No: 9781470434366
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Synopsis
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.

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