带P-空间和Σ-空间因子的乘积空间的metalindelf性和mesocompact性

The covering properites of product spaces between one P-space and one Σ-space

证明了一个P-空间和一个Σ-空间的乘积空间,如果两因子空间分别均为metalindelf空间mesocompact空间时,积空间是metalindelf空间或σ-mesocompact空间.

We show that the product of one P-space and one ∑-space is metalindeloef space（ respectively, mesocompact space）, of the two factor spaces are metalindeloef spaces（ respectively; σ-mesocompact space）.