Higgins, Peter and Vernitski, Alexei (2022) Orientation-preserving and orientation-reversing mappings: a new description. Springer.
Higgins, Peter and Vernitski, Alexei (2022) Orientation-preserving and orientation-reversing mappings: a new description. Springer.
Higgins, Peter and Vernitski, Alexei (2022) Orientation-preserving and orientation-reversing mappings: a new description. Springer.
Abstract
We characterise the respective semigroups of mappings that preserve, or that preserve or reverse orientation of a finite cycle, in terms of their actions on oriented triples and oriented quadruples. This leads to a proof that the latter semigroup coincides with the semigroup of all mappings that preserve intersections of chords on the corresponding circle.
| Item Type: | Other |
|---|---|
| Uncontrolled Keywords: | orientation-preserving; transformation semigroup |
| Divisions: | Faculty of Science and Health > Mathematics, Statistics and Actuarial Science, School of |
| SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
| Depositing User: | Unnamed user with email elements@essex.ac.uk |
| Date Deposited: | 25 Feb 2022 10:46 |
| Last Modified: | 18 May 2026 14:44 |
| URI: | http://repository.essex.ac.uk/id/eprint/32060 |
Available files
Filename: Higgins-Vernitski2022_Article_Orientation-preservingAndOrien.pdf
Licence: Creative Commons: Attribution 4.0
Filename: Correction to Orientation preserving and orientation reversing mappings a new description.pdf
Licence: Creative Commons: Attribution 4.0