Topological Complexity of the Klein bottle
  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. 
Daniel C. Cohen and Lucile Vandembroucq
math.AT