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Whitehead groups may not be free even assuming ch,II
Authors:Saharon Shelah
Institution:(1) Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel;(2) Department of Mathematics, University of California, Berkeley, California, USA
Abstract:We prove some theorems on uncountable abelian groups, and consistency results promised in the first part, and also that a variant of 
$$
\diamondsuit _{\omega _1 } 
$$
called ♣ (club), is consistent with 2 0<ℵ1. The author would like to thank the United States-Israel Binational Science Foundation for Grant 1110 and the NSF for Grant MCS-08479.
Keywords:
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