关于单调正规空间定义的一个注记

A Note on the Definition of Monotonically Normal Spaces

对拓朴空间的任一单调正规算子,用另一方法导出一个新的单调正规算子N,使对任意的由不交闭集构成的序对(H,K)对应的开集N(H,K)满足性质N(H,K)∩N(K,H)= ;另外用基的邻域约定给出了单调正规空间的一个等价刻划.

We derives a new operator from the definition of monotonically normal operator which satisfies the properties N(H,K)∩N(K,H)= and N(H,K)G(H,K)-(G(K,H)). Also gives an equivalent condition of monotonically normal spaces uses of the concept of neighborhood assignment of base.