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- Serikzhan A. Badaev, Mustafa Manat, Andrea Sorbi
- Arch. Math. Log.
- 2015

- Serikzhan A. Badaev, Mustafa Manat, Andrea Sorbi
- Math. Log. Q.
- 2012

Let a be a Kleene’s ordinal notation of a nonzero computable ordinal. We give a sufficient condition on a, so that for every Σ−1 a -computable family of two embedded sets, i.e., two sets A,B, with A properly contained in B, the Rogers semilattice of the family is infinite. This condition is satisfied by every notation of ω; moreover every nonzero computable… (More)

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