Abstract
In this paper we discuss topological problems inspired by robotics. We study in detail the robot motion planning problem. With any path-connected topological space X we associate a numerical invariant TC(X) measuring the “complexity of the problem of navigation in X.„We examine how the number TC(X) determines the structure of motion planning algorithms, both deterministic and random.
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FARBER, M. (2006). TOPOLOGY OF ROBOT MOTION PLANNING. In: Biran, P., Cornea, O., Lalonde, F. (eds) Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology. NATO Science Series II: Mathematics, Physics and Chemistry, vol 217. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4266-3_05
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DOI: https://doi.org/10.1007/1-4020-4266-3_05
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