Effective presentability of Boolean algebras of Cantor-bendixson rank

Journal of Symbolic Logic 64 (1):45-52 (1999)
We show that there is a computable Boolean algebra B and a computably enumerable ideal I of B such that the quotient algebra B/I is of Cantor-Bendixson rank 1 and is not isomorphic to any computable Boolean algebra. This extends a result of L. Feiner and is deduced from Feiner's result even though Feiner's construction yields a Boolean algebra of infinite Cantor-Bendixson rank
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DOI 10.2307/2586749
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