Higgins, Peter and Vernitski, Alexei (2022) 'Orientation-preserving and orientation-reversing mappings: a new description.' Semigroup Forum, 104 (2). pp. 509-514. ISSN 0037-1912
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Higgins-Vernitski2022_Article_Orientation-preservingAndOrien.pdf - Published Version Available under License Creative Commons Attribution. Download (208kB) | Preview |
Official URL: 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 |
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Uncontrolled Keywords: | orientation-preserving; transformation semigroup |
Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematical Sciences, Department of |
SWORD Depositor: | Elements |
Depositing User: | Elements |
Date Deposited: | 25 Feb 2022 10:46 |
Last Modified: | 06 May 2022 09:47 |
URI: | http://repository.essex.ac.uk/id/eprint/32060 |
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