• Corpus ID: 221655257

A dichotomy for Polish modules

@article{Frisch2020ADF,
  title={A dichotomy for Polish modules},
  author={Joshua Frisch and Forte Shinko},
  journal={arXiv: Logic},
  year={2020}
}
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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