论文标题

波兰模块的二分法

A dichotomy for Polish modules

论文作者

Frisch, Joshua, Shinko, Forte

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.

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