Abstract
Assume V = L and λ 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 λ such that for no G′ ⊆ G, |G′| < λ is G/G′ free and Ext (G, ℤ) realizes our requirements.
| Original language | English |
|---|---|
| Pages (from-to) | 327-356 |
| Number of pages | 30 |
| Journal | Israel Journal of Mathematics |
| Volume | 112 |
| DOIs | |
| State | Published - 1999 |