The quotient semilattice of the recursively enumerable degrees modulo the cappable degrees

Author:

Schwarz Steven

Abstract

In this paper, we investigate the quotient semilattice R _ / M _ \underline R /\underline M of the r.e. degrees modulo the cappable degrees. We first prove the R _ / M _ \underline {R} /\underline {M} counterpart of the Friedberg-Muchnik theorem. We then show that minimal elements and minimal pairs are not present in R _ / M _ \underline R /\underline M . We end with a proof of the R _ / M _ \underline {R} /\underline {M} counterpart to Sack’s splitting theorem.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference16 articles.

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