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Motion planning in spaces with small fundamental groups

Authors
Publisher
World Scientific Publishing Co. Pte. Ltd.
Publication Date
Keywords
  • Qa Mathematics
Disciplines
  • Computer Science
  • Mathematics

Abstract

We establish sharp upper bounds for the topological complexity TC(X) of motion planning algorithms in topological spaces X such that the fundamental group is "small", i.e. when π1(X) is cyclic of order ≤ 3 or has small cohomological dimension.

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