Higher topological complexity of subcomplexes of products of spheres and related polyhedral product spaces
Keywords
Sequential motion planning, Schwarz genus, polyhedral products, zero-divisorsAbstract
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.Published
2016-08-17
How to Cite
1.
GONZÁLEZ, Jesús, GUTIÉRREZ, Bárbara and YUZVINSKY, Sergey. Higher topological complexity of subcomplexes of products of spheres and related polyhedral product spaces. Topological Methods in Nonlinear Analysis. Online. 17 August 2016. Vol. 48, no. 2, pp. 419 - 451. [Accessed 29 March 2024].
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