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The classification problem for torsion-free abelian groups of finite rank

Simon Thomas

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Source: Crossref

Published: Oct 8, 2002

DOI: 10.1090/s0894-0347-02-00409-5

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Source abstract

We prove that for each n ≥ 1 n \geq 1 , the classification problem for torsion-free abelian groups of rank n + 1 n+1 is not Borel reducible to that for torsion-free abelian groups of rank n n .

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The classification problem for torsion-free abelian groups of finite rank — Mathematical Frontier Network