Higher topological complexity of subcomplexes of products of spheres and related polyhedral product spaces
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Sequential motion planning, Schwarz genus, polyhedral products, zero-divisorsAbstrakt
We construct ``higher'' motion planners for automated systems whose spaces of states are homotopy equivalent to a polyhedral product space $Z(K,\{(S^{k_i},\star)\})$, {e.g. robot arms with restrictions on the possible combinations of simultaneously moving nodes.} Our construction is shown to be optimal by explicit cohomology calculations. The higher topological complexity of other {families of} polyhedral product spaces is also determined.Pobrania
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2016-08-17
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GONZÁLEZ, Jesús, GUTIÉRREZ, Bárbara & YUZVINSKY, Sergey. Higher topological complexity of subcomplexes of products of spheres and related polyhedral product spaces. Topological Methods in Nonlinear Analysis [online]. 17 sierpień 2016, T. 48, nr 2, s. 419–451. [udostępniono 22.7.2024].
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