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拓扑博弈与积空间的中紧性及次中紧性
引用本文:江辉有.拓扑博弈与积空间的中紧性及次中紧性[J].福州大学学报(自然科学版),1994(1):10-15.
作者姓名:江辉有
作者单位:福州大学数学系
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。

关 键 词:中紧性,次中紧性,博弈G(DC,X),C-Scattered空间,矩形

Topological Game Mesowmpactness and Submesocompactness of Product Spaces
Jiang Huiyou.Topological Game Mesowmpactness and Submesocompactness of Product Spaces[J].Journal of Fuzhou University(Natural Science Edition),1994(1):10-15.
Authors:Jiang Huiyou
Abstract: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.
Keywords:mesocompactness  submesocompactness  game G(DC  X)  C-scattered space  rectangle  
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