Sh:1188
- Greenberg, N., Richter, L., Shelah, S., & Turetsky, D. (2025). More on bases of uncountable free Abelian groups. In Higher recursion theory and set theory, Vol. 44, World Sci. Publ., Hackensack, NJ, pp. 71–85. MR: 4900327
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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
@incollection{Sh:1188,
author = {Greenberg, Noam and Richter, Linus and Shelah, Saharon and Turetsky, Dan},
title = {{More on bases of uncountable free Abelian groups}},
booktitle = {{Higher recursion theory and set theory}},
series = {Lect. Notes Ser. Inst. Math. Sci. Natl. Univ. Singap.},
volume = {44},
year = {2025},
pages = {71--85},
publisher = {World Sci. Publ., Hackensack, NJ},
mrnumber = {4900327},
mrclass = {03D60 (03E15 20K15 20K20)}
}