### Abstract

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.

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.

Original language | English |
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Publisher | American Mathematical Society |

Number of pages | 176 |

Volume | 702 |

ISBN (Electronic) | 978-1-4704-4405-1 |

ISBN (Print) | 978-1-4704-3436-6 |

Publication status | Published - 2018 |

### Publication series

Name | Contemporary Mathematics |
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Volume | 702 |

ISSN (Print) | 0271-4132 |

ISSN (Electronic) | 1098-3627 |

## Fingerprint Dive into the research topics of 'Topological Complexity and Related Topics: Mini-Workshop Topological Complexity and Related Topics February 28–March 5, 2016 Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany'. Together they form a unique fingerprint.

## Cite this

Grant, M., Lupton, G., & Vandembroucq, L. (Eds.) (2018).

*Topological Complexity and Related Topics: Mini-Workshop Topological Complexity and Related Topics February 28–March 5, 2016 Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany*. (Contemporary Mathematics; Vol. 702). American Mathematical Society.