Topological complexity and related topics : Mini-Workshop Topological Complexity and Related Topics, February 28-March 5, 2016, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany

著者

• Grant, Mark
• Lupton, Gregory
• Vandembroucq, Lucile
• Topological Complexity and Related Topics (Mini-workshop)

書誌事項

Topological complexity and related topics : Mini-Workshop Topological Complexity and Related Topics, February 28-March 5, 2016, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany

Mark Grant, Gregory Lupton, Lucile Vandembroucq, editors

（Contemporary mathematics, 702）

American Mathematical Society, c2018

注記

Includes bibliographical references

内容説明・目次

内容説明

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.

目次

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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詳細情報

• NII書誌ID(NCID): BB25616687
• ISBN:
  • 9781470434366
• LCCN: 2017042708
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: [Providence, R.I.]
• ページ数/冊数: vii, 176 p.
• 大きさ: 26 cm
• 分類:
  • LCC : QA612
  • DC23 : 514/.2
• 件名:
  • LCSH : Algebraic topology
  • LCSH : Topology
• 親書誌ID:
  • BA00009927