@article{0107456314784979afb983344124b880,
title = "Directed topological complexity of spheres",
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 .",
keywords = "Directed topological complexity, Directed homotopy, Directed spheres",
author = "Ayse Borat and Mark Grant",
note = "Open access via Springer compact agreement. Acknowledgements The first author wishes to thank the University of Aberdeen for their hospitality during her stay at the Institute of Mathematics, where this work was carried out. Both authors wish to thank Eric Goubault for useful discussions and for sharing with them preliminary versions of his results, and the anonymous referees for valuable comments.",
year = "2020",
month = mar,
doi = "10.1007/s41468-019-00033-y",
language = "English",
volume = "4",
pages = "3--9",
journal = "Journal of applied and computational topology",
issn = "2367-1726",
publisher = "Springer International Publishing AG",
}