Directed topological complexity of spheres

Ayse Borat; Mark Grant

doi:10.1007/s41468-019-00033-y

Directed topological complexity of spheres

Ayse Borat, Mark Grant^* (Corresponding Author)

^*Corresponding author for this work

Bursa Teknik University

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

21 Downloads (Pure)

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 .

Original language	English
Pages (from-to)	3-9
Number of pages	7
Journal	Journal of applied and computational topology
Volume	4
Early online date	7 Sept 2019
DOIs	https://doi.org/10.1007/s41468-019-00033-y
Publication status	Published - Mar 2020

Bibliographical 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.

Keywords

Directed topological complexity
Directed homotopy
Directed spheres

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10.1007/s41468-019-00033-yLicence: CC BY

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Borat_etal_JACT_Directed_Topological_Complexity_VOR
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
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Cite this

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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 .",

keywords = "Directed topological complexity, Directed homotopy, Directed spheres",

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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.",

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AB - 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 .

KW - Directed topological complexity

KW - Directed homotopy

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Directed topological complexity of spheres

Abstract

Bibliographical note

Keywords

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