Mathematics – Logic
Scientific paper
1998-06-15
Mathematics
Logic
Scientific paper
Assume V=L and lambda is regular smaller than the first weakly compact
cardinal. Under those circumstances and with arbitrary requirements on the
structure of Ext(G,Z) (under well known limitations), we construct an abelian
group G of cardinality lambda such that for no G' subseteq G, |G'|< lambda is
G/G' free and Ext(G,Z) realizes our requirements.
Mekler Alan H.
Rosłanowski Andrzej
Shelah Saharon
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