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