若干广义度量空间上的半连续函数的单调插入

Monotone insertion of semi-continuous functions on some generalized metric spaces

研究了在(广义)实值函数上以单调方式插入半连续函数的问题,并且提供了MCM空间、MCP空间、弱MCP空间、完备空间和完备正规空间的一些刻画。

This paper studies the problem of monotonically inserting semi-continuous functions on(generalized)real valued functions,and provides some characterizations of MCM spaces,MCP spaces,weak MCP spaces,complete spaces and complete normal spaces.