环面运动规划
Motion planning in tori
摘要:
设X是n维环面的标准CW-分解的子复形。我们展示了一个显式的最优运动规划算法的X。这种构造用于计算一般位置排列的补空间和与直角Artin群相关的Eilenberg-Mac Lane空间的拓扑复杂性。
英文摘要:
Let X be a subcomplex of the standard CW-decomposition of the n-dimensional torus. We exhibit an explicit optimal motion planning algorithm for X. This construction is used to calculate the topological complexity of complements of general position arrangements and Eilenberg-Mac Lane spaces associated to right-angled Artin groups.
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