拓扑一般Boole格的完备化

The Completion of Any Topologica General Boolean Lattice

本文证明了如下结果:若<L,τ>是拓扑一般布尔格,那么在 L 的完备化■上存在包含τ的最粗拓扑■,使得<L,τ>和<L、τ>在 L 中有相同的闭包运算。

In this letter the following result have been proved: If<L,τ>is a topological general Boolean lattice,then there exists a coars -est topologycontaining τon the completion of L such that<L,τ>an -d <L,τ> have the same closure operations in L.