Published December 1975
| Published
Journal Article
Open
A Basis Result for Σ^0_3 Sets of Reals with an Application to Minimal Covers
- Creators
- Harrington, Leo A.
-
Kechris, Alexander S.
Abstract
It is shown that every ∑^0_3 set of reals which contains reals of arbitrarily high Turing degree in the hyperarithmetic hierarchy contains reals of every Turing degree above the degree of Kleene's O. As an application it is shown that every Turing degree above the Turing degree of Kleene's O is a minimal cover.
Additional Information
© 1975, American Mathematical Society. Received by the editors April 3, 1974 and, in revised form, July 19, 1974 and September 6, 1974.Attached Files
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Additional details
- Eprint ID
- 38705
- Resolver ID
- CaltechAUTHORS:20130529-152738529
- Created
-
2013-05-30Created from EPrint's datestamp field
- Updated
-
2019-10-03Created from EPrint's last_modified field
- Other Numbering System Name
- MathSciNet Review
- Other Numbering System Identifier
- MR0398832