A non-reflexive Whitehead group
Logic
2007-05-23 v1 Commutative Algebra
Rings and Algebras
Abstract
We prove that it is consistent that there is a non-reflexive Whitehead group, in fact one whose dual group is free. We also prove that it is consistent that there is a group A such that Ext(A,Z) is torsion and Hom(A,Z)=0. As an application we show the consistency of the existence of new co-Moore spaces.
Cite
@article{arxiv.math/9908157,
title = {A non-reflexive Whitehead group},
author = {Paul C. Eklof and Saharon Shelah},
journal= {arXiv preprint arXiv:math/9908157},
year = {2007}
}