David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Journal of Symbolic Logic 53 (4):1070-1081 (1988)
We combine two techniques of set theory relating to minimal degrees of constructibility. Jensen constructed a minimal real which is additionally a Π 1 2 singleton. Groszek built an initial segment of order type 1 + α * , for any ordinal α. This paper shows how to force a Π 1 2 singleton such that the c-degrees beneath it, all represented by reals, are of type 1 + α * , for many ordinals α. We also examine the definability α needs to be so represented by a real
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
Robert S. Lubarsky (1987). Lattices of C-Degrees. Annals of Pure and Applied Logic 36 (2):115-118.
Citations of this work BETA
No citations found.
Similar books and articles
Manuel Lerman (1969). Some Nondistributive Lattices as Initial Segments of the Degrees of Unsolvability. Journal of Symbolic Logic 34 (1):85-98.
Frank P. Weber (1994). Initial Segments of the Lattice of Ideals of R.E. Degrees. Journal of Symbolic Logic 59 (4):1326-1350.
A. H. Lachlan & R. Lebeuf (1976). Countable Initial Segments of the Degrees of Unsolvability. Journal of Symbolic Logic 41 (2):289-300.
S. K. Thomason (1970). A Theorem on Initial Segments of Degrees. Journal of Symbolic Logic 35 (1):41-45.
William C. Calhoun (2006). Degrees of Monotone Complexity. Journal of Symbolic Logic 71 (4):1327 - 1341.
Richard L. Epstein (1981). Initial Segments of Degrees Below 0'. American Mathematical Society.
Ilias G. Kastanas (1988). Initial Segments of ▵12n + 1-Degrees. Journal of Symbolic Logic 53 (1):259 - 268.
C. E. M. Yates (1970). Initial Segments of the Degrees of Unsolvability Part II: Minimal Degrees. Journal of Symbolic Logic 35 (2):243-266.
Marcia Groszek (1994). Ω*1 as an Initial Segment of the C-Degrees. Journal of Symbolic Logic 59 (3):956 - 976.
Bjørn Kjos-Hanssen (2003). Local Initial Segments of the Turing Degrees. Bulletin of Symbolic Logic 9 (1):26-36.
Added to index2009-01-28
Total downloads9 ( #373,668 of 1,911,311 )
Recent downloads (6 months)3 ( #252,427 of 1,911,311 )
How can I increase my downloads?