# Sh:621

- Eklof, P. C., & Shelah, S. (2001).
*A non-reflexive Whitehead group*. J. Pure Appl. Algebra,**156**(2-3), 199–214. arXiv: math/9908157 DOI: 10.1016/S0022-4049(99)00152-8 MR: 1808823 -
Abstract:

It is proved, via an iterated forcing construction with finite support, that it is consistent that there is a strongly \aleph_1-free Whitehead group of cardinality \aleph_1 which is strongly non-reflexive. It is also proved consistent that there is a group A satisfying Ext(A, Z) is torsion and Hom(A,Z)=0. - Version 1999-08-03_11 (14p) published version (16p)

Bib entry

@article{Sh:621, author = {Eklof, Paul C. and Shelah, Saharon}, title = {{A non-reflexive Whitehead group}}, journal = {J. Pure Appl. Algebra}, fjournal = {Journal of Pure and Applied Algebra}, volume = {156}, number = {2-3}, year = {2001}, pages = {199--214}, issn = {0022-4049}, mrnumber = {1808823}, mrclass = {20K20 (03E35 03E75 20K35)}, doi = {10.1016/S0022-4049(99)00152-8}, note = {\href{https://arxiv.org/abs/math/9908157}{arXiv: math/9908157}}, arxiv_number = {math/9908157} }