Mathematics – Logic
Scientific paper
2009-09-03
Annals of Pure and Applied Logic 161 (2010), pp. 1270-1279
Mathematics
Logic
Scientific paper
10.1016/j.apal.2010.03.003
Greg Hjorth and Simon Thomas proved that the classification problem for torsion-free abelian groups of finite rank \emph{strictly increases} in complexity with the rank. Subsequently, Thomas proved that the complexity of the classification problems for $p$-local torsion-free abelian groups of fixed rank $n$ are \emph{pairwise incomparable} as $p$ varies. We prove that if $3\leq m
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