Daniel C. Cohen, Lucile Vandembroucq
Published 2016-12-09Version 1
We show that the (normalized) topological complexity of the Klein bottle is $4$. We also show that, for any $g\geq 2$, $TC(N_g)=4$. This completes the recent work by Dranishnikov on the topological complexity of non-orientable surfaces.
Topological complexity of enumerative problems and classifying spaces of $PU_n$
Category and Topological Complexity of the configuration space $F(G\times \mathbb{R}^n,k)$
New lower bounds for the topological complexity of aspherical spaces
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