This paper gives a charactering theorem of such T 0 space with χ(x)≤m by using Mrowkas m almost metric space, which extended a similar famous theorem of ponomave¨v who used the ordinary metric space and continuous open mapping of such space.
扩充了Ponomave¨v关于“T0满足第一可数公理空间必是度量空间的连续开映象”的定理,用m几乎度量空间刻划局部特征数小于等于m的T0空间类。