Topological Complexity of wedges
Algebraic Topology
2021-01-26 v2
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 .
Cite
@article{arxiv.1712.06779,
title = {Topological Complexity of wedges},
author = {Cesar A. Ipanaque Zapata},
journal= {arXiv preprint arXiv:1712.06779},
year = {2021}
}
Comments
There 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