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Almost Combinatorial Selector Sets

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Abstract

Classes of subsets of positive integers based on the notion of selector functions similar to the Jockusch selector of a semirecursive set are studied.

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References

  1. A. N. Degtev, “Recursively-combinatorial properties of subsets of natural numbers,” Algebra i Logika [Algebra and Logic], 29, No. 3, 303-314 (1990).

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  2. A. N. Degtev, “Almost semirecursive sets,” Mat. Zametki [Math. Notes], 66, No. 2, 188-193 (1999).

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  3. C. G. Jockusch, “Semirecursive sets and positive reducibility,” Trans. Amer. Math. Soc., 131, 420-436 (1968).

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  4. S. V. Yablonskii, G. P. Gavrilov, and V. G. Kudryavtsev, Functions of the Algebra of Logic and Post Classes [in Russian], Nauka, Moscow (1966).

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Degtev, A.N. Almost Combinatorial Selector Sets. Mathematical Notes 68, 721–723 (2000). https://doi.org/10.1023/A:1026652431306

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  • DOI: https://doi.org/10.1023/A:1026652431306

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