摘要
利用博奕这一工具,通过对次中紧性建立滤子性质,证明了带博奕因子的积空间的中紧性和次中紧性的几个重要结果。对带C-Scattered因子的积空间,也证明了相应的几个结果。
In this paper,we use topological game as a tool,by establishing a filter property for mesocompactness,to prove several important results on the mesocompactness and submesocompactness of the product spaces of which one factor is satisfied with some game conditions Similar results are obtained for the product spaces of which one factar is a C-scat-tered space.
出处
《福州大学学报(自然科学版)》
CAS
CSCD
1994年第1期10-15,共6页
Journal of Fuzhou University(Natural Science Edition)
关键词
中紧性
次中紧性
拓扑
积空间
mesocompactness
submesocompactness
game G(DC,X)
C-scattered space
rectangle