More on bases of uncountable free abelian groups
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We extend results found by Greenberg, Turetsky, and Westrick in [7] and investigate effective properties of bases of uncountable free abelian groups. Assuming V = L, we show that if κ is a regular uncountable cardinal and X is a ∆11(Lκ) subset of κ, then there is a κ-computable free abelian group whose bases cannot be effectively computed by X. Unlike in [7], we give a direct construction.
2018 ◽
Vol 167
(02)
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pp. 229-247
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1992 ◽
Vol 52
(2)
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pp. 219-236
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1989 ◽
Vol 39
(1)
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pp. 21-24
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1997 ◽
Vol 17
(4)
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pp. 757-782
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1969 ◽
Vol 12
(4)
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pp. 475-478
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