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arXiv · 1506.06291

The topological complexity and the homotopy cofiber of the diagonal map for non-orientable surfaces

Alexander Dranishnikov
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Abstract

We show that the Lusternik-Schnirelmann category of the homotopy cofiber of the diagonal map for non-orientable surfaces equals three. Also, we prove that the topological complexity of non-orientable surfaces of genus $>3$ is four.

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Alexander Dranishnikov. 2015-08-27. The topological complexity and the homotopy cofiber of the diagonal map for non-orientable surfaces. https://arxiv.org/abs/1506.06291

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