用边界公理建立拓扑

SETTING TOPOLOGY BY BOUNDARY AXIOMS

首先给出边界公理的定义，然后证明边界公理与开集公理的条件等价．从而证明可以从边界公理出发建立拓扑空间的概念．

This paper demonstrates what boundary axioms are and the condition under which boundary axioms equal the axioms of open sets. It's consequently proved that topology space can be built up in light of boundary axioms.