Motion planning in tori

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dc.creatorCohen, Daniel C.
dc.creatorPruidze, Goderdzi
dc.date2007-03-02
dc.date2007-05-11
dc.date.accessioned2026-07-07T12:23:15Z
dc.date.available2026-07-07T12:23:15Z
dc.descriptionLet 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.
dc.descriptionResults extended to arbitrary subcomplexes of tori. Results on products of even spheres added
dc.identifierhttps://arxiv.org/abs/math/0703069
dc.identifierhttp://arxiv.org/abs/math/0703069
dc.identifierBull. London Math. Soc. 40 (2008), 249-262
dc.identifierdoi:10.1112/blms/bdn005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213922
dc.subjectGeometric Topology
dc.subjectAlgebraic Topology
dc.subject20F36, 52C35, 55M30
dc.titleMotion planning in tori
dc.typetext

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