F格上的度量问题–第二类度量

Metric Problems on F-Lattices–The Second Metric

本文研究了点式一类度量-第二类度量, 通过O2 − nbd映射簇对它进行了刻画,并进一步证明了它的诱导拓扑和它的余拓扑是一致的。另外,我们还证明了第二类度量是Q − CI的,最后,证明了L−实直线R(L)满足第二类度量和它的几个球映射的关系。

In this paper, firstly, we investigate a kind of pointwise metric-the second metric, and characterize it by using O2 − nbd mappings. Secondly, we prove that its induced topology is consistent with its cotopology. In addition, we also prove that the second metric is Q − CI. Finally, we assert that L–real line is the second metric, and present the relationships between its several basic spheres.