A lift of a theorem of Friedberg: A Banach-Mazur functional that coincides with no α-recursive functional on the class of α-recursive functions

Journal of Symbolic Logic 46 (2):216-232 (1981)
R. M. Friedberg demonstrated the existence of a recursive functional that agrees with no Banach-Mazur functional on the class of recursive functions. In this paper Friedberg's result is generalized to both α-recursive functionals and weak α-recursive functionals for all admissible ordinals α such that $\lambda , where α * is the Σ 1 -projectum of α and λ is the Σ 2 -cofinality of α. The theorem is also established for the metarecursive case, α = ω 1 , where α * = λ = ω
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DOI 10.2307/2273615
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References found in this work BETA
G. E. Sacks & S. G. Simpson (1972). The Α-Finite Injury Method. Annals of Mathematical Logic 4 (4):343-367.
G. E. Sacks (1972). The Alpha-Finite Injury Method. Annals of Pure and Applied Logic 4 (4):343.

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