Borel Whitehead groups
Logic
2016-09-07 v1 Rings and Algebras
Abstract
We investigate the Whiteheadness of Borel abelian groups (aleph_1-free, wlog, as otherwise this is trivial). We show that CH (and even WCH) implies any such abelian group is free, and always aleph_2-free.
Cite
@article{arxiv.math/9809198,
title = {Borel Whitehead groups},
author = {Saharon Shelah},
journal= {arXiv preprint arXiv:math/9809198},
year = {2016}
}