Published February 7, 2023
| public
Journal Article
A Dichotomy for Polish Modules
- Creators
- Frisch, Joshua
- Shinko, Forte
Abstract
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.
Additional Information
We would like to thank Alexander Kechris, Sławomir Solecki, and Todor Tsankov for several helpful comments and remarks. We would also like to thank the anonymous referee for finding an error in an earlier draft, as well as numerous helpful improvements. The authors were partially supported by NSF Grant DMS-1950475.Additional details
- Eprint ID
- 118794
- Resolver ID
- CaltechAUTHORS:20230113-708423000.8
- DMS-1950475
- NSF
- Created
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2023-02-07Created from EPrint's datestamp field
- Updated
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2023-07-06Created from EPrint's last_modified field