CLASSIFICATION OF A CLASS OF CONTINUOUS MAPS ON THE UNIT INTERVAL

被引：0

作者：

Sawyer, D. J. y ^{[1
]}

Truss, J. K. ^{[1
]}

机构：

[1] Univ Leeds, Dept Pure Math, Leeds LS2 9JT, W Yorkshire, England

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2009年 / 60卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1093/qmath/ham046

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a classification of certain continuous maps from the unit interval (or any non-trivial closed bounded interval of the real line) to itself up to conjugacy. The maps studied are those for which there is a partition of the interval into finitely many subintervals whose endpoints form a cycle of the map, and on each of which the map is monotonic.

引用

页码：105 / 119

页数：15

共 50 条

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