Journal of Symbolic Logic

Relative enumerability and 1-genericity

Wei Wang

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Abstract

A set of natural numbers B is computably enumerable in and strictly above (or c.e.a. for short) another set C if C <T B and B is computably enumerable in C. A Turing degree b is c.e.a. c if b and c respectively contain B and C as above. In this paper, it is shown that if b is c.e.a. c then b is c.e.a. some 1-generic g.

Article information

Source
J. Symbolic Logic, Volume 76, Issue 3 (2011), 897-913.

Dates
First available in Project Euclid: 6 July 2011

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1309952526

Digital Object Identifier
doi:10.2178/jsl/1309952526

Mathematical Reviews number (MathSciNet)
MR2849251

Zentralblatt MATH identifier
1260.03079

Subjects
Primary: 03D28: Other Turing degree structures 03D25: Recursively (computably) enumerable sets and degrees

Keywords
Turing degrees relative enumerability 1-generic

Citation

Wang, Wei. Relative enumerability and 1-genericity. J. Symbolic Logic 76 (2011), no. 3, 897--913. doi:10.2178/jsl/1309952526. https://projecteuclid.org/euclid.jsl/1309952526


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