Topological Complexity of the Klein bottle
Algebraic Topology
2019-08-27 v3
Abstract
We show that the (normalized) topological complexity of the Klein bottle is . We also show that, for any , . This completes the recent work by Dranishnikov on the topological complexity of non-orientable surfaces.
Cite
@article{arxiv.1612.03133,
title = {Topological Complexity of the Klein bottle},
author = {Daniel C. Cohen and Lucile Vandembroucq},
journal= {arXiv preprint arXiv:1612.03133},
year = {2019}
}
Comments
Improvements in the exposition. References added. To appear in Journal of Applied and Computational Topology