摘要
在文[1]的基础上,引入了LF拓扑空间的逆系统之间的映射以及导出极限序同态的概念,讨论了极限序同态的一些性质;利用LF拓扑空间的逆系统的极限刻划了范畴LFTZ中的投影极限;最后讨论了一些范畴的投影完备性.
In this paper,based on[1],the mappings between invers systems of LF topol- ogical spaces and the limit order-homomorphisms induced by it are defined,some properties of the limit order-homomorphisms are discussed,and the projective limits in category LFTZ are characterized in terms of the limit of inverse systems.Finally the pro-completeness of several categorys is discussed.
出处
《青海师范大学学报（自然科学版）》
1992年第2期15-20,共6页
Journal of Qinghai Normal University(Natural Science Edition)
关键词
逆系统
逆极限
极限序同态
投影极限
投影完备性
Inverse system
Inverse limit
Limit order-homomorphism
Projective limit
Pro-completeness
