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arXiv · 1612.03133

Topological Complexity of the Klein bottle

Daniel C. Cohen·Lucile Vandembroucq
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Abstract

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.

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Daniel C. Cohen, Lucile Vandembroucq. 2016-12-09. Topological Complexity of the Klein bottle. https://doi.org/10.1007/s41468-017-0002-0

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