Topological complexity of configuration spaces

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dc.creatorFarber, Michael
dc.creatorGrant, Mark
dc.date2008-06-25
dc.date.accessioned2026-07-07T09:46:39Z
dc.date.available2026-07-07T09:46:39Z
dc.descriptionThe topological complexity TC(X) is a homotopy invariant which reflects the complexity of the problem of constructing a motion planning algorithm in the space X, viewed as configuration space of a mechanical system. In this paper we complete the computation of the topological complexity of the configuration space of n distinct points in Euclidean m-space for all m>1$ and n>1; the answer was previously known in the cases m=2 and m odd. We also give several useful general results concerning sharpness of upper bounds for the topological complexity.
dc.identifierhttps://arxiv.org/abs/0806.4111
dc.identifierhttp://arxiv.org/abs/0806.4111
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163601
dc.subjectAlgebraic Topology
dc.subject55M99, 55R80, 68T40.
dc.titleTopological complexity of configuration spaces
dc.typetext

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