Suppose that n≤2 and that S, T are sets of primes. Then the classification problem for the S-local torsion-free abelian groups of rank n is Borel reducible to the classification problem for the T-local torsion-free abelian groups of rank n if and only if S≤T.
All Science Journal Classification (ASJC) codes
- Borel equivalence relation
- Torsion-free abelian group