The structure of disjoint iteration groups on the circle

被引：3

作者：

Cieplinski, K ^{[1
]}

机构：

[1] Pedag Univ, Math Inst, PL-30084 Krakow, Poland

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2004年 / 54卷 / 01期

关键词：

(disjoint; non-singular; singular; non-dense; dense; discrete) iteration group; degree; periodic point; orientation-preserving homeomorphism; rotation number; limit set; orbit; system of functional equations;

D O I：

10.1023/B:CMAJ.0000027254.04824.0c

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of the paper is to investigate the structure of disjoint iteration groups on the unit circle S-1, that is, families F = {F-v: S-1 --> S-1; v is an element of V} of homeomorphisms such that F-v1 omicron F-v2 = Fv1+v2, v(1), v(2) is an element of V, and each F-v either is the identity mapping or has no fixed point ((V, +) is an arbitrary 2-divisible nontrivial (i.e., card V > 1) abelian group).

引用

页码：131 / 153

页数：23