A Note: An Invariance Theorem for Mappings II

被引：3
|
作者：
Sacker, Robert J. [1 ]
机构：
[1] Univ So Calif, Dept Math, Los Angeles, CA 90089 USA
来源：
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2012年 / 24卷 / 03期
关键词：
Invariance; Mappings; Difference equation; Discrete dynamics;
D O I：
10.1007/s10884-012-9273-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Conditions on a domain D in are given so that if f is a continuous mapping of into , is an open mapping on the interior of D and maps the boundary of D into the closure of D then f maps the entire set into its closure, i.e. is invariant. This is an improvement over a previous result where f was required to be injective (one-to-one) since a locally injective map on the interior of D is an open map.
引用
收藏
页码：595 / 599
页数：5
相关论文
共 50 条
12345