Orientation-preserving and orientation-reversing mappings: a new description

被引：8
|
作者：
Higgins, Peter M. [1 ]
Vernitski, Alexei [1 ]
机构：
[1] Univ Essex, Dept Math Sci, Colchester CO4 3SQ, Essex, England
来源：
SEMIGROUP FORUM | 2022年 / 104卷 / 02期
关键词：
Orientation-preserving; Transformation semigroup;
D O I：
10.1007/s00233-022-10256-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：509 / 514
页数：6
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