论文标题
猫（$ 0 $）空间无限网的拓扑薄弱
Weak topologies for unbounded nets in CAT($0$) spaces
论文作者
论文摘要
过去已经研究了CAT（$ 0 $）空间中有界序列和网的弱拓扑结构的弱拓扑。我们在这里关注的是弱拓扑，这些拓扑产生了无界序列和网的收敛弱。我们分析了两个这样的拓扑结构，这些拓扑概括了希尔伯特空间上的弱拓扑，并且在且仅当该空间在局部紧凑时与猫（$ 0 $）空间的强大拓扑相一致。
Weak topologies that yield weak convergence for bounded sequences and nets in CAT($0$) spaces have been studied in the past. We are here concerned with weak topologies that yield weak convergence of unbounded sequences and nets. We analyze two such topologies that generalize the weak topology on Hilbert spaces and that agree with the strong topology on a CAT($0$) space if and only if the space is locally compact.
