F格上的度量问题–第二类度量
Metric Problems on F-Lattices–The Second Metric
DOI: 10.12677/AAM.2020.910215, PDF,   
作者: 江婉文：罗格斯大学, 新伯郎士威克文理学院统计系, 美国；陈 鹏：中国科学院微电子研究所，北京
关键词: 第一类度量；第二类度量；L-实直线；R-nbd映射簇；O2-nbd映射簇；Q-CI；The First Metric； The Second Metric； L–Real Line； R-nbd Mappings； O2-nbdMappings； Q-CI
摘要: 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。
Abstract: 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.
文章引用：江婉文, 陈鹏. F格上的度量问题–第二类度量[J]. 应用数学进展, 2020, 9(10): 1865-1878. https://doi.org/10.12677/AAM.2020.910215

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