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

页码：509 / 514

页数：6

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