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Topology and the robot arm

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Publication:1107173
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DOI10.1007/BF00047283zbMath0652.57021MaRDI QIDQ1107173

Daniel Henry Gottlieb

Publication date: 1988

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)


zbMATH Keywords

singularitiesrobot arm\(\pi _ 1(SO_ 3)\)rotational singularitiesset of arm positionsspace of positions of a coordinate frame


Mathematics Subject Classification ID

Homotopy groups, general; sets of homotopy classes (55Q05) Singularities of differentiable mappings in differential topology (57R45) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)


Related Items (7)

The configuration space of \(n\)-tuples of equiangular unit vectors for \(n = 3\), \(4\), and \(5\) ⋮ Invariants for homology classes with application to optimal search and planning problem in robotics ⋮ Generic singular configurations of linkages ⋮ A topologist’s view of kinematic maps and manipulation complexity ⋮ Fields of Lorentz transformations on space-time ⋮ MICROSTRUCTURE OF CNT/STEEL NANOCOMPOSITES AND THEIR CHARACTERISTICS ⋮ Topological complexity of the work map



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