线性递归序列上的拓扑比较
Comparing topologies on linearly recursive sequences
摘要：
线性递归复数序列空间有两种不同的拓扑。即由首项为$0$的序列的理想导出的adic拓扑和由复幂级数空间上的Krull拓扑通过适当的嵌入导出的拓扑。我们表明，这些拓扑结构是不等价的。
英文摘要：
The space of linearly recursive sequences of complex numbers admits two distinguished topologies. Namely, the adic topology induced by the ideal of those sequences whose first term is $0$ and the topology induced from the Krull topology on the space of complex power series via a suitable embedding. We show that these topologies are not equivalent.
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