Note about Fixed Points of Scott Continuous Self-Mappings

被引：0
|
作者：
Xiao Yong XI1
2.College of Mathematics Science
3.College of Computer Science
机构：
来源：
Journal of Mathematical Research with Applications | 2011年 / 01期
基金：
中国国家自然科学基金;
关键词：
Scott continuous; fixed points; stable mapping;
D O I：
暂无
中图分类号：
O189.1 [一般拓扑];
学科分类号：
070104 ;
摘要：
It is discussed in this paper that under what conditions,for a continuous domain L,there is a Scott continuous self-mapping f:L → L such that the set of fixed points fix(f) is not continuous in the ordering induced by L.For any algebraic domain L with a countable base and a smallest element,the problem presented by Huth is partially solved.Also,an example is given and shows that there is a bounded complete domain L such that for any Scott continuous stable self-mapping f,fix(f) is not the retract of L.
引用
收藏
页码：187 / 190
页数：4
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