Contemporary Mathematics 2007; 192 pp; softcover Volume: 438 ISBN10: 0821842463 ISBN13: 9780821842461 List Price: US$65 Member Price: US$52 Order Code: CONM/438
 Ever since the literary works of Čapek and Asimov, mankind has been fascinated by the idea of robots. Modern research in robotics reveals that along with many other branches of mathematics, topology has a fundamental role to play in making these grand ideas a reality. This volume summarizes recent progress in the field of topological roboticsa new discipline at the crossroads of topology, engineering and computer science. Currently, topological robotics is developing in two main directions. On one hand, it studies pure topological problems inspired by robotics and engineering. On the other hand, it uses topological ideas, topological language, topological philosophy, and specially developed tools of algebraic topology to solve problems of engineering and computer science. Examples of research in both these directions are given by articles in this volume, which is designed to be a mixture of various interesting topics of pure mathematics and practical engineering. Readership Graduate students and research mathematicians interested in the application of topological methods of robotics. Table of Contents  R. Ghrist  Winding numbers for networks with weak angular data
 E. Rodriguez  The snake charmer's algorithm
 B. Tovar, L. Freda, and S. M. LaValle  Using a robot to learn geometric information from permutations of landmarks
 J.Cl. Hausmann  Geometric descriptions of polygon and chain spaces
 Y. Gur and N. Sochen  Diffusion over tensor fields via Lie group pde flows: Lagrangian action approach
 M. Farber, M. Grant, and S. Yuzvinsky  Topological complexity of collision free motion planning algorithms in the presence of multiple moving obstacles
 M. Farber and M. Grant  Symmetric motion planning
 L. Lechuga and A. Murillo  Topological complexity of formal spaces
 S. Yuzvinsky  Topological complexity of generic hyperplane complements
 A. D. Ames  Homotopy meaningful hybrid model structures
 D. Farley  Presentations for the cohomology rings of tree braid groups
 Y. Gabriely and E. Rimon  Competitive disconnection detection in online mobile robot navigation
