拓扑博弈与积空间的中紧性及次中紧性

Topological Game Mesowmpactness and Submesocompactness of Product Spaces

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.