论文标题
波兰模块的二分法
A dichotomy for Polish modules
论文作者
论文摘要
让$ r $为配备适当规范的戒指。我们表明,在$ r $的适当条件下,在连续线性注入的自然基础上,对于不可算出的波兰$ r $模型。当$ r $是分区戒指时,可以将此基础视为单身人士。
Let $R$ be a ring equipped with a proper norm. We show that under suitable conditions on $R$, there is a natural basis under continuous linear injection for the set of Polish $R$-modules which are not countably generated. When $R$ is a division ring, this basis can be taken to be a singleton.