Topological complexity and related topics
 Responsibility
 Mark Grant, Gregory Lupton, Lucile Vandembroucq, editors.
 Publication
 [Providence, Rhode Island] : American Mathematical Society, [2018]
 Physical description
 vii, 176 pages : illustrations ; 26 cm.
 Series
 Contemporary mathematics (American Mathematical Society) ; v. 702.
Access
Available online
Science Library (Li and Ma)
Stacks
Call number  Status 

QA612 .T6525 2018  Unknown 
More options
Creators/Contributors
 Contributor
 Grant, Mark, 1980 editor.
 Lupton, Gregory, 1960 editor.
 Vandembroucq, Lucile, 1971 editor.
Contents/Summary
 Bibliography
 Includes bibliographical references.
 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, Qtopological complexity N. Fieldsteel, Topological complexity of graphic arrangements J. Gonzalez, M. Grant, and L. Vandembroucq, Hopf invariants, topological complexity, and LScategory of the cofiber of the diagonal map for twocell complexes J. Gonzalez and B. Gutierrez, Topological complexity of collisionfree multitasking motion planning on orientable surfaces M. Grant and D. RecioMitter, 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 miniworkshop on Topological Complexity and Related Topics, held from February 28March 5, 2016, at the Mathematisches Forschungsinstitut Oberwolfach. Topological complexity is a numerical homotopy invariant, defined by Farber in the early twentyfirst 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 LusternikSchnirelmann 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
Subjects
 Subject
 Algebraic topology.
 Topology.
 Algebraic topology.
 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 > LjusternikSchnirelman (LyusternikShnirel'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 > Lowdimensional topology > Relations with graph theory.
 Computer science > Artificial intelligence > Robotics.
 Systems theory; control > Control systems > Automated systems (robots, etc.)
Bibliographic information
 Publication date
 2018
 Series
 Contemporary mathematics ; 702
 Note
 "Miniworkshop on Topological Complexity and Related Topics, February 28March 5, 2016, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany."
 ISBN
 9781470434366 (paperback alkaline paper)
 1470434369 (paperback alkaline paper)