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Two infinite combinatorial principlesP(Σ
) concerning the existence of approximations of functions are studied.T(Σ
) is shown to be equivalent toIΣ
) is shown to be incomparable withBΣ
. Finally Pudláks principle, which is a finite miniaturization of bothT...
LetA be an r.e. nonrecursive set. We sayA has thestrong antisplitting property if there exists an r.e. setB with 0<
A such that ifA
A. It is shown that below any high r.e. degree there exists an r.e. set...
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