Topological Complexity of wedges

Abstract

We prove the formula \begin{equation*} TC(X\vee Y)=\max\{TC(X),TC(Y),cat(X\times Y)\} \end{equation*} for the topological complexity of the wedge $X\vee Y$.

arXiv commentThere is a mistake in the Proof of Theorem 1.4. The statement "any two of these sets intersect at a single point $w_0=((x_0,y_0),(x_0,y_0))$" is wrong

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