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Informationen zum Autor Manuel Lerman works in the Department of Mathematics at the University of Connecticut. Klappentext This volume presents a systematic study of the interaction between local and global degree theory. Zusammenfassung This volume presents a systematic study of the interaction between local and global degree theory. It introduces the reader to the fascinating combinatorial methods of recursion theory while simultaneously showing how to use these methods to prove global theorems about degrees. Inhaltsverzeichnis Introduction; Part I. The Structure of the Degrees: 1. Recursive functions; 2. Embeddings and extensions of embeddings in the degrees; 3. The jump operator; 4. High/low hierarchies; Part II. Countable Ideals of Degrees: 5. Minimal degrees; 6. Finite distributive lattices; 7. Finite lattices; 8. Countable usls; Part III. Initial Segments ofD and the Jump Operator: 9. Minimal degrees and high/low hierarchies; 10. Jumps of minimal degrees; 11. Bounding minimal degrees with recursively enumerable degrees; 12. Initial segments of D [0,0']; Appendix A. Coding into structures and theories; Appendix B. lattice tables and representation theorems; References; Notation index; Subject index.
