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Directed topological complexity of spheres

Journal of Applied and Computational Topology (2020) 4(1) 3-9
DOI: 10.1007/s41468-019-00033-y
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Abstract

We show that the directed topological complexity [as defined by Goubault (On directed homotopy equivalences and a notion of directed topological complexity, 2017. arXiv:1709.05702)] of the directed n-sphere is 2, for all n≥ 1.

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Borat, A., & Grant, M. (2020). Directed topological complexity of spheres. Journal of Applied and Computational Topology, 4(1), 3–9. https://doi.org/10.1007/s41468-019-00033-y

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