Constructs K1, an AEC of torsion-free abelian groups that is not finitely tame but is countably tame, plus families K2(2^μ) that fail tameness below any regular uncountable μ below the first measurable cardinal.
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2 Pith papers cite this work. Polarity classification is still indexing.
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math.LO 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
A new abstract elementary class of torsion-free abelian groups is built that is unstable, has JEP and no maximal models but no AP, and is (<aleph0)-tame.
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Examples of non-tame abstract elementary classes of abelian groups
Constructs K1, an AEC of torsion-free abelian groups that is not finitely tame but is countably tame, plus families K2(2^μ) that fail tameness below any regular uncountable μ below the first measurable cardinal.
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An unstable abstract elementary class of modules: A variation of Paolini-Shelah's example
A new abstract elementary class of torsion-free abelian groups is built that is unstable, has JEP and no maximal models but no AP, and is (<aleph0)-tame.