%0 Journal Article %T Borel Whitehead groups %A Saharon Shelah %J Mathematics %D 1998 %I arXiv %X 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. %U http://arxiv.org/abs/math/9809198v1