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Topological Complexity, Robotics and Social Choice
Snapshots of modern mathematics from Oberwolfach
Topological Complexity, Robotics and Social Choice
Topological complexity is a number that measures how hard it is to plan motions (for robots, say) in terms of a particular space associated to the kind of motion to be planned. This is a burgeoning subject within the wider area of Applied Algebraic Topology. Surprisingly, the same mathematics gives insight into the question of creating social choice functions, which may be viewed as algorithms for making decisions by artificial intelligences.
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Mathematical subjects
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Geometry and Topology
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Engineering and Technology
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Humanities and Social Sciences
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DOI (Digital Object Identifier)
10.14760/SNAP-2018-005-EN
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snapshots: overview
Mathematical subjects
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Algebra and Number Theory
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Analysis
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Didactics and Education
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Discrete Mathematics and Foundations
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Geometry and Topology
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Numerics and Scientific Computing
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Probability Theory and Statistics
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Chemistry and Earth Science
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Computer Science
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Reflections on Mathematics