关于伪紧性的作用

On the Effects of Pseudocompactness

对伪紧性在一些广义度量空间的作用进行讨论，证明了伪紧的Ｍ空间或次可度量空间是可数紧的，给出例子说明具有伪紧性的σ空间、ｐ空间及拟订度空间也未必是可数紧的。

he effects of pseudocompactness on some generalized metrizable spaces have been discussed. It is proved that pseudocompact M spaces or submetrizable spaces are countably compact, whereas pseudocompact σ spaces, p spaces or γ spaces need not to be countably compact.