弱区别度空间的局部ε-连通性

On the Local ε-connectedness in Weak Distance Measure Spaces

定义了弱区别度空间的局部ε-连通性及局部连通性,给出了局部ε-连通空间及局部连通空间的若干等价刻画.证明了局部ε-连通性及局部连通性分别是在ε-压缩开满射和缩距开满射下保持的性质.

The local ε-connectedness in weak distance measure spaces was defined and many equavalent depictions were also given for locally ε-connected spaces and locally connected spaces. Also proves that local ε-connectedness and local connectedness are just the property that retains under ε-contraction open surjection and open contraction surjection respectively.