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On the growth of topological complexity

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Publication:2221304
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DOI10.1007/S41468-020-00060-0zbMath1460.55002arXiv2005.09847OpenAlexW3085709571MaRDI QIDQ2221304

Daisuke Kishimoto, Atsushi Yamaguchi

Publication date: 26 January 2021

Published in: Journal of Applied and Computational Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.09847


zbMATH Keywords

topological complexityLS-categorymodule topological complexity


Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Rational homotopy theory (55P62)





Cites Work

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  • Higher topological complexity of subcomplexes of products of spheres and related polyhedral product spaces
  • Rational topological complexity
  • Topological complexity of motion planning
  • Higher topological complexity of aspherical spaces
  • Generating functions and topological complexity
  • On higher analogs of topological complexity
  • Joins of DGA modules and sectional category
  • A proof of Ganea's conjecture for rational spaces
  • Rational methods applied to sectional category and topological complexity
  • The rational sectional category of certain maps




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