## Journal of Symbolic Logic

### The Cupping Theorem in R/M

#### Abstract

It will be proved that the Shoenfield cupping conjecture holds in R/M, the quotient of the recursively enumerable degrees modulo the cappable r.e. degrees. Namely, for any [a], [b] $\in$ R/M such that [0] $\prec$ [b] $\prec$ [a] there exists [c] $\in$ R/M such that [c] $\prec$ [a] and [a] = [b] $\vee$ [c].

#### Article information

Source
J. Symbolic Logic, Volume 64, Issue 2 (1999), 643-650.

Dates
First available in Project Euclid: 6 July 2007

https://projecteuclid.org/euclid.jsl/1183745799

Mathematical Reviews number (MathSciNet)
MR1777776

Zentralblatt MATH identifier
0929.03046

JSTOR