Table of Contents

*Frontmatter, pg. i*Preface to revised edition, pg. vii*Contents, pg. ix* 1. Preliminaries, pg. 1* 2 . A Continuum of Mutually Incomparable Degrees, pg. 7* 3. Uncountable Suborderings of Degrees, pg. 21* 4. The Priority Method Of Friedberg and Muchnik, pg. 43* 5. An Existence Theorem For Recursively Enumerable Degrees, pg. 55* 6 . The Jump Operator, pg. 77* 7. An Interpolation Theorem for Recursively Enumerable Degrees, pg. 117* 8. Minimal Upper Bounds for Sequences of Degrees, pg. 123* 9. Minimal Degrees, pg. 135* 10. Measure-Theoretic, Category and Descriptive Set-Theoretic Arguments, pg. 153* 11. Initial Segments of Degrees, pg. 163* 12. Further Results and Conjectures, pg. 169*Bibliography, pg. 173