Topological complexity of surfaces
Lucile Vandembroucq · Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT) · 2019
[Excerpt]The notion of topological complexity of a space has been introduced by M. Farber in [F03] in order to give a topological measure of the complexity of the motion planning problem in robotics. Given a mechanical system, this problem consists of constructing an algorithm telling how to move from any initial state to any final state.[...]