The classification problem for torsion-free abelian groups of finite rank
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- by Simon Thomas
- J. Amer. Math. Soc. 16 (2003), 233-258
- DOI: https://doi.org/10.1090/S0894-0347-02-00409-5
- Published electronically: October 8, 2002
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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 $n$.References
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Bibliographic Information
- Simon Thomas
- Affiliation: Department of Mathematics, Rutgers University, 110 Frelinghuysen Road, Piscataway, New Jersey 08854-8019
- MR Author ID: 195740
- Email: sthomas@math.rutgers.edu
- Received by editor(s): March 1, 2001
- Received by editor(s) in revised form: September 25, 2002
- Published electronically: October 8, 2002
- Additional Notes: Research partially supported by NSF Grants.
- © Copyright 2002 American Mathematical Society
- Journal: J. Amer. Math. Soc. 16 (2003), 233-258
- MSC (2000): Primary 03E15, 20K15, 37A20
- DOI: https://doi.org/10.1090/S0894-0347-02-00409-5
- MathSciNet review: 1937205