Geodesic
Rational topological complexity
Jessup, Barry1 ; Murillo, Aniceto2 ; Parent, Paul-Eugène1
1Department of Mathematics and Statistics, University of Ottawa, 585 King Edward Ave, Ottawa K1N6N5, Canada
2Departmento de Algebra Geometría y Topología, University of Malaga, Ap 59, 29080 Malaga, Spain
Algebraic and Geometric Topology, Tome 12 (2012) no. 3, pp. 1789-1801
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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.

DOI : 10.2140/agt.2012.12.1789
Classification : 55M30, 55P62
Keywords: Topological complexity, Rational homotopy, robotics

Jessup, Barry  1   ; Murillo, Aniceto  2   ; Parent, Paul-Eugène  1

1 Department of Mathematics and Statistics, University of Ottawa, 585 King Edward Ave, Ottawa K1N6N5, Canada
2 Departmento de Algebra Geometría y Topología, University of Malaga, Ap 59, 29080 Malaga, Spain 
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Jessup, Barry; Murillo, Aniceto; Parent, Paul-Eugène. Rational topological complexity. Algebraic and Geometric Topology, Tome 12 (2012) no. 3, pp. 1789-1801. doi: 10.2140/agt.2012.12.1789

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