Description

Book Synopsis
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. This volume contains survey articles and original research papers on topological complexity and its many generalizations and variants, to give a snapshot of contemporary research on this exciting topic.

Table of Contents
  • Survey Articles: A. Angel and H. Colman, Equivariant topological complexities
  • J. Carrasquel, Rational methods applied to sectional category and topological complexity
  • D. C. Cohen, Topological complexity of classical configuration spaces and related objects
  • P. Pavesic, A topologist's view of kinematic maps and manipulation complexity
  • Research Articles: D. M. Davis, On the cohomology classes of planar polygon spaces
  • J.-P. Doeraene, M. El Haouari, and C. Ribeiro, Sectional category of a class of maps
  • L. Fernandez Suarez and L. Vandembroucq, Q-topological complexity
  • N. Fieldsteel, Topological complexity of graphic arrangements
  • J. Gonzalez, M. Grant, and L. Vandembroucq, Hopf invariants, topological complexity, and LS-category of the cofiber of the diagonal map for two-cell complexes
  • J. Gonzalez and B. Gutierrez, Topological complexity of collision-free multi-tasking motion planning on orientable surfaces
  • M. Grant and D. Recio-Mitter, Topological complexity of subgroups of Artin's braid groups.

    Topological Complexity and Related Topics

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    RRP £114.00 – you save £11.40 (10%)

    Order before 4pm today for delivery by Tue 7 Apr 2026.

    A Paperback by Mark Grant, Gregory Lupton, Lucile Vandembroucq

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      View other formats and editions of Topological Complexity and Related Topics by Mark Grant

      Publisher: MP-AMM American Mathematical
      Publication Date: 3/30/2018 12:00:00 AM
      ISBN13: 9781470434366, 978-1470434366
      ISBN10: 1470434369
      Also in:
      Calculus and mathematical analysis Topology

      Description

      Book Synopsis
      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. This volume contains survey articles and original research papers on topological complexity and its many generalizations and variants, to give a snapshot of contemporary research on this exciting topic.

      Table of Contents
      • Survey Articles: A. Angel and H. Colman, Equivariant topological complexities
      • J. Carrasquel, Rational methods applied to sectional category and topological complexity
      • D. C. Cohen, Topological complexity of classical configuration spaces and related objects
      • P. Pavesic, A topologist's view of kinematic maps and manipulation complexity
      • Research Articles: D. M. Davis, On the cohomology classes of planar polygon spaces
      • J.-P. Doeraene, M. El Haouari, and C. Ribeiro, Sectional category of a class of maps
      • L. Fernandez Suarez and L. Vandembroucq, Q-topological complexity
      • N. Fieldsteel, Topological complexity of graphic arrangements
      • J. Gonzalez, M. Grant, and L. Vandembroucq, Hopf invariants, topological complexity, and LS-category of the cofiber of the diagonal map for two-cell complexes
      • J. Gonzalez and B. Gutierrez, Topological complexity of collision-free multi-tasking motion planning on orientable surfaces
      • M. Grant and D. Recio-Mitter, Topological complexity of subgroups of Artin's braid groups.

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