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arXiv · 1302.1238

On topological complexity of Eilenberg-MacLane spaces

Yuli Rudyak
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Abstract

We note that, for any natural $k$ and every natural $l$ between $k$ and $2k$, there exists a group $π$ with $\cat K(π,1)=k$ and $\TC(K(π,1))=l$. Because of this, we can set up a problem of searching of purely group-theoretical description of $\TC(K(π,1))$ as an invariant of $π$.

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Yuli Rudyak. 2014-08-03. On topological complexity of Eilenberg-MacLane spaces. https://arxiv.org/abs/1302.1238

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