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arXiv · 0909.1616

On higher analogs of topological complexity

Yuli B. Rudyak
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Abstract

Farber introduced a notion of topological complexity $\TC(X)$ that is related to robotics. Here we introduce a series of numerical invariants $\TC_n(X), n=1,2, ...$ such that $\TC_2(X)=\TC(X)$ and $\TC_n(X)\le \TC_{n+1}(X)$. 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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Yuli B. Rudyak. 2009-11-12. On higher analogs of topological complexity. https://arxiv.org/abs/0909.1616

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