On topological complexity of twisted products

preprint2013arXivOpen access

Abstract

We provide an upper bound on the topological complexity of twisted products. We use it to give an estimate TC(X)≤TC(π1(X))+dim⁡XTC(X)\le TC(π_1(X))+\dim X of the topological complexity of a space in terms of its dimension and the complexity of its fundamental group.

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