带C-scattered空间因子的积空间的覆盖性质

Covering properties of product space of which one factor is C-scattered space

通过给出正则次中紧C-scattered空间的一个紧式θ-开覆盖序列,证明了带C-scattered空间因子的积空间的中紧性和次中紧性的两个定理.

By giving a compact type θ - open covers sequence for the regular submesocompact C - scattered space, we prove two theorems on mesocompactness and submesocompactness of product spaces of which one factor is C - scattered space.