Orientation-preserving and orientation-reversing mappings: a new description
| Autor: | Higgins, Peter M., Vernitski, Alexei |
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| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 5 pages, 1 figure |
| Databáze: | arXiv |
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