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Title Topological complexity and related topics / Mark Grant, Gregory Lupton, Lucile Vandembroucq, editors
Published Providence, Rhode Island : American Mathematical Society, [2018]
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Description 1 online resource
Series Contemporary mathematics, 1098-3627 ; v. 702
Contemporary mathematics (American Mathematical Society) ; v. 702
Contents Equivariant topological complexities / Andrés Ángel and Hellen Colman -- Rational methods applied to sectional category and topological complexity / José Carrasquel -- Topological complexity of classical configuration spaces and related objects / Daniel C. Cohen -- A topologist's view of kinematic maps and manipulation complexity / Petar Pavešić -- On the cohomology classes of planar polygon spaces / Donald M. Davis -- Sectional category of a class of maps / Jean-Paul Doeraene, Mohammed El Haouari and Carlos Ribeiro -- Q-topological complexity / Lucía Fernández Suárez and Lucile Vandembroucq -- Topological complexity of graphic arrangements / Nathan Fieldsteel -- Hopf invariants, topological complexity, and LS-category of the cofiber of the diagonal map for two-cell complexes / Jesús González, Mark Grant and Lucile Vandembroucq -- Topological complexity of collision-free multi-tasking motion planning on orientable surfaces / Jesús González and Bárbara Gutiérrez -- Topological complexity of subgroups of Artin's braid groups / Mark Grant and David Recio-Mitter
Summary This volume contains the proceedings of the mini-workshop on Topological Complexity and Related Topics, held from February 28-March 5, 2016, at the Mathematisches Forschungsinstitut Oberwolfach. Topological complexity is a numerical homotopy invariant, defined by Farber in the early twenty-first century as part of a topological approach to the motion planning problem in robotics. It continues to be the subject of intensive research by homotopy theorists, partly due to its potential applicability, and partly due to its close relationship to more classical invariants, such as the Lusternik-Schni
Notes "Mini Workshop on Topological Complexity and Related Topics, February 29-March 2, 2016, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany."
Bibliography Includes bibliographical references
Notes Print version record
Subject Algebraic topology.
Algebraic topology -- Classical topics -- Ljusternik-Schnirelman (Lyusternik-Shnirel'man) category of a space.
Algebraic topology -- Classical topics -- None of the above, but in this section.
Algebraic topology -- Fiber spaces and bundles -- Discriminantal varieties, configuration spaces.
Algebraic topology -- Homotopy groups -- Hopf invariants.
Algebraic topology -- Homotopy theory -- Equivariant homotopy theory.
Algebraic topology -- Homotopy theory -- Rational homotopy theory.
Algebraic topology -- Operations and obstructions -- Sectioning fiber spaces and bundles.
Algebraic topology -- Proceedings, conferences, collections, etc.
Algebraic topology.
Computer science -- Artificial intelligence -- Robotics.
Convex and discrete geometry -- Discrete geometry -- Arrangements of points, flats, hyperplanes.
Group theory and generalizations -- Special aspects of infinite or finite groups -- Braid groups; Artin groups.
Manifolds and cell complexes -- Low-dimensional topology -- Relations with graph theory.
Systems theory; control -- Control systems -- Automated systems (robots, etc.)
Form Electronic book
Author Grant, Mark, 1980- editor.
Lupton, Gregory, 1960- editor.
Vandembroucq, Lucile, 1971- editor.
ISBN 1470444054