Almost computably enumerable families of sets
Sbornik. Mathematics, Tome 199 (2008) no. 10, pp. 1451-1458

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An almost computably enumerable family that is not $\varnothing'$-computably enumerable is constructed. Moreover, it is established that for any computably enumerable (c.e.) set $A$ there exists a family that is $X$-c.e. if and only if the set $X$ is not $A$-computable. Bibliography: 5 titles.
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     author = {I. Sh. Kalimullin},
     title = {Almost computably enumerable families of sets},
     journal = {Sbornik. Mathematics},
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     number = {10},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2008_199_10_a1/}
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I. Sh. Kalimullin. Almost computably enumerable families of sets. Sbornik. Mathematics, Tome 199 (2008) no. 10, pp. 1451-1458. http://geodesic.mathdoc.fr/item/SM_2008_199_10_a1/