Description 
1 online resource 
Series 
Contemporary mathematics, 10983627 ; 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 / JeanPaul Doeraene, Mohammed El Haouari and Carlos Ribeiro  Qtopological complexity / Lucía Fernández Suárez and Lucile Vandembroucq  Topological complexity of graphic arrangements / Nathan Fieldsteel  Hopf invariants, topological complexity, and LScategory of the cofiber of the diagonal map for twocell complexes / Jesús González, Mark Grant and Lucile Vandembroucq  Topological complexity of collisionfree multitasking motion planning on orientable surfaces / Jesús González and Bárbara Gutiérrez  Topological complexity of subgroups of Artin's braid groups / Mark Grant and David RecioMitter 
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 LusternikSchni 
Notes 
"Mini Workshop on Topological Complexity and Related Topics, February 29March 2, 2016, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany." 
Bibliography 
Includes bibliographical references 
Notes 
Print version record 
Subject 
Algebraic topology.


Topology.


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  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  Lowdimensional topology  Relations with graph theory.


Systems theory; control  Control systems  Automated systems (robots, etc.)


Topology.

Form 
Electronic book

Author 
Grant, Mark, 1980 editor.


Lupton, Gregory, 1960 editor.


Vandembroucq, Lucile, 1971 editor.

ISBN 
1470444054 

9781470444051 
