正则m_2空间及其刻划

The regular m_2 space and its characterization

通过对单调T2空间和强单调T2空间的比较和分析,引入了嵌套T2空间的定义,证明了正则m2空间等价于嵌套T2空间,从而改进了Buck关于m2空间的一个结果.

By comparing the monotonically T2 space and strongly monotonically T2 space, the nested T2 space is inlroduced, it is proved that the regular m2 space is equivalent to nested T2 property, this is an improvement of Buck＇ s result on m2 space.