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)

@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}
}