Rational topological complexity

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

doi:10.2140/agt.2012.12.1789

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Rational topological complexity

Barry Jessup, Aniceto Murillo and Paul-Eugène Parent

Algebraic & Geometric Topology 12 (2012) 1789–1801

DOI: 10.2140/agt.2012.12.1789

Abstract

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.

Keywords

Topological complexity, Rational homotopy, robotics

Mathematical Subject Classification 2010

Primary: 55M30, 55P62

References

Publication

Received: 22 March 2012

Revised: 11 April 2012

Accepted: 12 April 2012

Published: 24 August 2012

Authors

Barry Jessup
Department of Mathematics and Statistics University of Ottawa 585 King Edward Ave, Ottawa K1N6N5 Canada

Aniceto Murillo
Departmento de Algebra Geometría y Topología University of Malaga Ap 59, 29080 Malaga Spain

Paul-Eugène Parent
Department of Mathematics and Statistics University of Ottawa 585 King Edward Ave, Ottawa K1N6N5 Canada

Volume 12, issue 3 (2012)