A dichotomy for Polish modules
Logic
2022-01-03 v2 Functional Analysis
Group Theory
Rings and Algebras
Abstract
Let be a ring equipped with a proper norm. We show that under suitable conditions on , there is a natural basis under continuous linear injection for the set of Polish -modules which are not countably generated. When is a division ring, this basis can be taken to be a singleton.
Keywords
Cite
@article{arxiv.2009.05855,
title = {A dichotomy for Polish modules},
author = {Joshua Frisch and Forte Shinko},
journal= {arXiv preprint arXiv:2009.05855},
year = {2022}
}
Comments
13 pages; final version for journal