Sh:505

• Eklof, P. C., & Shelah, S. (1994). A combinatorial principle equivalent to the existence of non-free Whitehead groups. In Abelian group theory and related topics (Oberwolfach, 1993), Vol. 171, Amer. Math. Soc., Providence, RI, pp. 79–98. arXiv: math/9403220 DOI: 10.1090/conm/171/01765 MR: 1293134
• Abstract:
  As a consequence of identifying the principle described in the title, we prove that for any uncountable cardinal \lambda, if there is a \lambda-free Whitehead group of cardinality \lambda which is not free, then there are many “nice” Whitehead groups of cardinality \lambda which are not free.
• Version 1994-03-04_10 (23p) published version (20p)

@incollection{Sh:505,
 author = {Eklof, Paul C. and Shelah, Saharon},
 title = {{A combinatorial principle equivalent to the existence of non-free Whitehead groups}},
 booktitle = {{Abelian group theory and related topics (Oberwolfach, 1993)}},
 series = {Contemp. Math.},
 volume = {171},
 year = {1994},
 pages = {79--98},
 publisher = {Amer. Math. Soc., Providence, RI},
 mrnumber = {1293134},
 mrclass = {20K20 (03E05)},
 doi = {10.1090/conm/171/01765},
 note = {\href{https://arxiv.org/abs/math/9403220}{arXiv: math/9403220}},
 arxiv_number = {math/9403220}
}