$\Z$上的线性拓扑不是Mackey拓扑
Linear topologies on $\Z$ are not Mackey topologies
摘要：
本文证明了对于$\Z$上的每一个非离散Hausdorff线性拓扑，都可以对应于其它可度量化的局部拟凸群拓扑，这些拓扑比线性拓扑严格精细，并且特征群重合.将这个结果应用于$\Z$上的$p$ -adic拓扑，我们对Dikranjan提出的这个拓扑是否是Mackey的问题给出了否定的回答。
英文摘要：
In this article it is shown that to every non-discrete Hausdorff linear topology on $\Z$ other metrizable locally quasi-convex group topologies can be associated which are strictly finer than the linear topology and such that the character groups coincide. Applying this result to the $p$-adic topology on $\Z$, we give a negative answer to the question of Dikranjan, whether this topology is Mackey.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
