Sh:1188

• Greenberg, N., Richter, L., Shelah, S., & Turetsky, D. More on bases of uncountable free Abelian groups. Preprint.
• Abstract:
  We extend results found by Greenberg, Turetsky, and Westrick in [GTW] and investigate effective properties of bases of uncountable free abelian groups. Assuming $V=L$, we show that if $\kappa$ is a regular uncountable cardinal and $X$ is a $\Delta_1^1(L_\kappa)$ subset of $\kappa$, then there is a $\kappa$-computable free abelian group whose bases cannot be effectively computed by $X$. Unlike in [GTW], we give a direct construction.
• Version 2020-08-28 (11p)

@article{Sh:1188,
 author = {Greenberg, Noam and Richter, Linus and Shelah, Saharon and Turetsky, Dan},
 title = {{More on bases of uncountable free Abelian groups}}
}