Topological Complexity and Related Topics

✍ Scribed by Mark Grant; Gregory Lupton; Lucile Vandembroucq

Publisher: American Mathematical Society
Year: 2018
Tongue: English
Leaves: 186
Series: Contemporary Mathematics
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ 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.

✦ Subjects

Algebraic topology. ; Topology.

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