【摘要】 本文主要讨论了具有σ点离散sn网和具有σ紧有限sn网的拓扑空间之间的关系.主要结果如下:(1)具有σ点离散sn网的空间具有σ紧有限sn网,但反之不然;(2)空间具有σ点离散sn网当且仅当空间是snf可数且具有σ点离散cs网.最后提出一些关于σ点离散sn网的问题.更多还原

【Abstract】 In this paper,we mainly discuss the relation between spaces with aσ-pointdiscrete sn-network and spaces with aσ-compact-finite sn-network.The main results are: (1) Spaces with aσ-point-discrete sn-network have aσ-compact-finite sn-network,but the converse is not certain true.(2) A space has aσ-point-discrete sn-network if and only if it is sn-first countable and has aσ-point-discrete cs-network.Some questions are posed.更多还原