Topology and AI
Topological Aspects of Algorithms for Autonomous Motion
Editors
Michael Farber
Queen Mary University of London, UKJesús González
Center for Research and Advanced Studies of the National Polytechnic Institute, Mexico City, Mexico
A subscription is required to access this book.
pp. i–iv Frontmatterpp. v–viii PrefaceMichael FarberJesús González
pp. ix–xii Contentspp. 1–29 Autonomous robots, motion algorithms and topologyMichael Farber
pp. 31–64 Equivalent environments and covering spaces for robotsVadim K. WeinsteinSteven M. LaValle
pp. 65–89 Some geometric and topological data-driven methods in robot motion path planningBoris Goldfarb
pp. 91–122 Towards control, learning and intelligence in reconfigurable systemsDan P. Guralnik
pp. 123–159 Geometric and topological properties of manifolds in robot motion planningStephan Mescher
pp. 161–186 Equivariant topological complexitiesMark Grant
pp. 187–210 Computing with the -canonical classLucile Vandembroucq
pp. 211–240 Motion planning in real projective spacesJesús González
pp. 241–264 Generalized topological complexity and its monoidal versionJosé Manuel García-Calcines
pp. 265–290 Robotics and the fundamental groupJohn F. Oprea
pp. 291–308 Geodesic complexityDonald M. Davis
pp. 309–333 Farber’s conjecture and beyondBen Knudsen
pp. 335–362 Topological complexity of a mapPetar Pavešić
pp. 363–385 Distributional topological complexity and LS-categoryAlexander DranishnikovEkansh Jauhari
pp. 387–388 List of contributors