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Rational topological
complexity
Barry Jessup, Aniceto Murillo and Paul-Eugène Parent |
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Algebraic & Geometric Topology 12 (2012) 1789–1801
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Abstract |
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We give a new upper bound for Farber’s topological complexity for rational spaces in terms of Sullivan models. We use it to determine the topological complexity in some new cases, and to prove a Ganea-type formula in these and other cases. |
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Keywords
Topological complexity, Rational homotopy, robotics
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Mathematical Subject Classification 2010
Primary: 55M30, 55P62
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References |
Publication
Received: 22 March 2012
Revised: 11 April 2012
Accepted: 12 April 2012
Published: 24 August 2012
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Authors |
| Barry Jessup | |
| Department of Mathematics and
Statistics University of Ottawa 585 King Edward Ave, Ottawa K1N6N5 Canada |
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| Aniceto Murillo | |
| Departmento de Algebra Geometría y
Topología University of Malaga Ap 59, 29080 Malaga Spain |
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| Paul-Eugène Parent | |
| Department of Mathematics and
Statistics University of Ottawa 585 King Edward Ave, Ottawa K1N6N5 Canada |
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