$\aleph_k$-free cogenerators
Group Theory
2019-09-04 v1 Logic
Abstract
We prove in ZFC that an abelian group is cotorsion if and only if for every -free group , and discuss some consequences and related results. This short note includes a condensed overview of the -Black Box for -free constructions in ZFC.
Cite
@article{arxiv.1909.00595,
title = {$\aleph_k$-free cogenerators},
author = {Manfred Dugas and Daniel Herden and Saharon Shelah},
journal= {arXiv preprint arXiv:1909.00595},
year = {2019}
}