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The classification problem for torsion-free abelian groups of finite rank
Authors:Simon Thomas
Affiliation:Department of Mathematics, Rutgers University, 110 Frelinghuysen Road, Piscataway, New Jersey 08854-8019
Abstract:
We prove that for each $n geq 1$, the classification problem for torsion-free abelian groups of rank $n+1$ is not Borel reducible to that for torsion-free abelian groups of rank $n$.

Keywords:Borel equivalence relation   torsion-free abelian group   superrigidity
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