中文摘要：

讨论csf可数空间的性质,把csf可数空间刻画为度量空间的映像,同时探讨了伪紧的csf可数空间的第一可数性质,推广了Arhangel’skiˇ？关于度量空间伪开s映像的结果,证明了正则伪紧的仿拓扑群是可度量化的当且仅当它是csf可数的Fr′echet空间.

英文摘要：

In this paper some properties of csf-countable spaces are discussed, csf-countable spaces can be characterized by certain images of metrizable spaces, the first-countability of pesudo- compact csf-eountable spaces are explored, and it is proved a regular pseudo-compact paratopological group is metrizable if and only if it is a csf-countable Frechet space.