Mathematics – Geometric Topology
Scientific paper
2007-03-02
Bull. London Math. Soc. 40 (2008), 249-262
Mathematics
Geometric Topology
Results extended to arbitrary subcomplexes of tori. Results on products of even spheres added
Scientific paper
10.1112/blms/bdn005
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.
Cohen Daniel C.
Pruidze Goderdzi
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