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Low5 Boolean Subalgebras and Computable Copies
Published online by Cambridge University Press: 12 March 2014
Abstract
It is known that the spectrum of a Boolean algebra cannot contain a low4 degree unless it also contains the degree 0; it remains open whether the same holds for low5 degrees. We address the question differently, by considering Boolean subalgebras of the computable atomless Boolean algebra . For such subalgebras , we show that it is possible for the spectrum of the unary relation on to contain a low5 degree without containing 0.
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- Copyright © Association for Symbolic Logic 2011
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