Topological complexity and related topics
- Mark Grant, Gregory Lupton, Lucile Vandembroucq, editors.
- [Providence, Rhode Island] : American Mathematical Society, 
- Physical description
- vii, 176 pages : illustrations ; 26 cm.
- Contemporary mathematics (American Mathematical Society) ; v. 702.
Science Library (Li and Ma)
|QA612 .T6525 2018||Unknown|
- Includes bibliographical references.
- 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.
- (source: Nielsen Book Data)9781470434366 20180813
- Publisher's 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-Schnirelmann category and the Schwarz genus. 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 at the interface of pure mathematics and engineering.
(source: Nielsen Book Data)9781470434366 20180813
- Algebraic topology.
- Algebraic topology.
- Algebraic topology > Proceedings, conferences, collections, etc.
- Group theory and generalizations > Special aspects of infinite or finite groups > Braid groups; Artin groups.
- Convex and discrete geometry > Discrete geometry > Arrangements of points, flats, hyperplanes.
- 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 > Homotopy theory > Rational homotopy theory.
- Algebraic topology > Homotopy theory > Equivariant homotopy theory.
- Algebraic topology > Homotopy groups > Hopf invariants.
- Algebraic topology > Fiber spaces and bundles > Discriminantal varieties, configuration spaces.
- Algebraic topology > Operations and obstructions > Sectioning fiber spaces and bundles.
- Manifolds and cell complexes > Low-dimensional topology > Relations with graph theory.
- Computer science > Artificial intelligence > Robotics.
- Systems theory; control > Control systems > Automated systems (robots, etc.)
- Publication date
- Contemporary mathematics ; 702
- "Mini-workshop on Topological Complexity and Related Topics, February 28-March 5, 2016, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany."
- 9781470434366 (paperback alkaline paper)
- 1470434369 (paperback alkaline paper)
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