具有σ遗传闭包保持双网的空间

Spaces with a-hereditarily Closure-preserving Pair-networks

证明了正则空间X具有σ遗传闭包保持双网当且仅当或者X是cosmic空间,或者X是σ闭离散空间,回答了文[1]提出的一个问题。

In this paper it is shown that a regular space with σ-hereditarily closure-preserving pair-networks if and only if it is either a cosmic space or a σ-closed discrete space, and a question proposed by Penfei Yan is answered.