Topological Complexity and Related Topics

Mark Grant · Gregory Lupton · Lucile Vandembroucq

2018년 2월 · American Mathematical Soc.

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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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Edited by Mark Grant: University of Aberdeen, Aberdeen, United Kingdom,
Gregory Lupton: Cleveland State University, Cleveland, OH,
Lucile Vandembroucq: University of Minho, Braga, Portugal