Higgins, Peter and Vernitski, Alexei (2022) Orientation-preserving and orientation-reversing mappings: a new description. Semigroup Forum, 104 (2). pp. 509-514. DOI https://doi.org/10.1007/s00233-022-10256-8
Higgins, Peter and Vernitski, Alexei (2022) Orientation-preserving and orientation-reversing mappings: a new description. Semigroup Forum, 104 (2). pp. 509-514. DOI https://doi.org/10.1007/s00233-022-10256-8
Higgins, Peter and Vernitski, Alexei (2022) Orientation-preserving and orientation-reversing mappings: a new description. Semigroup Forum, 104 (2). pp. 509-514. DOI https://doi.org/10.1007/s00233-022-10256-8
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: | Article |
|---|---|
| Uncontrolled Keywords: | orientation-preserving; transformation semigroup |
| Divisions: | Faculty of Science and Health 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: | 30 Oct 2024 16:36 |
| URI: | http://repository.essex.ac.uk/id/eprint/32060 |
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Filename: Higgins-Vernitski2022_Article_Orientation-preservingAndOrien.pdf
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