Directed topological complexity of spheres

Ayse Borat, Mark Grant* (Corresponding Author)

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)
11 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 languageEnglish
Pages (from-to)3-9
Number of pages7
JournalJournal of applied and computational topology
Volume4
Early online date7 Sept 2019
DOIs
Publication statusPublished - 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

Fingerprint

Dive into the research topics of 'Directed topological complexity of spheres'. Together they form a unique fingerprint.

Cite this