Low₅ Boolean subalgebras and computable copies

Journal of Symbolic Logic 76 (3):1061 - 1074 (2011)

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 B. For such subalgebras A, we show that it is possible for the spectrum of the unary relation A on B to contain a low₅ degree without containing 0
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.2178/jsl/1309952534
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 39,607
Through your library

References found in this work BETA

Computable Boolean Algebras.Julia F. Knight & Michael Stob - 2000 - Journal of Symbolic Logic 65 (4):1605-1623.
Recursive Isomorphism Types of Recursive Boolean Algebras.J. B. Remmel - 1981 - Journal of Symbolic Logic 46 (3):572-594.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Degree Spectra of Intrinsically C.E. Relations.Denis R. Hirschfeldt - 2001 - Journal of Symbolic Logic 66 (2):441-469.


Added to PP index

Total views
25 ( #305,908 of 2,325,342 )

Recent downloads (6 months)
13 ( #67,213 of 2,325,342 )

How can I increase my downloads?


My notes

Sign in to use this feature