Description
Book SynopsisTopological 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. 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.
Table of Contents
- Survey Articles: A. Angel and H. Colman, Equivariant topological complexities
- J. Carrasquel, Rational methods applied to sectional category and topological complexity
- D. C. Cohen, Topological complexity of classical configuration spaces and related objects
- P. Pavesic, A topologist's view of kinematic maps and manipulation complexity
- Research Articles: D. M. Davis, On the cohomology classes of planar polygon spaces
- J.-P. Doeraene, M. El Haouari, and C. Ribeiro, Sectional category of a class of maps
- L. Fernandez Suarez and L. Vandembroucq, Q-topological complexity
- N. Fieldsteel, Topological complexity of graphic arrangements
- J. Gonzalez, M. Grant, and L. Vandembroucq, Hopf invariants, topological complexity, and LS-category of the cofiber of the diagonal map for two-cell complexes
- J. Gonzalez and B. Gutierrez, Topological complexity of collision-free multi-tasking motion planning on orientable surfaces
- M. Grant and D. Recio-Mitter, Topological complexity of subgroups of Artin's braid groups.
