On higher analogs of topological complexity
Abstract
Farber introduced a notion of topological complexity (X) that is related to robotics. Here we introduce a series of numerical invariants n(X), n=1,2, ... such that 2(X)=(X) and n(X) n+1(X). For these higher complexities, we define their symmetric versions that can also be regarded as higher analogs of the symmetric topological complexity.
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