- Additional Authors
- Greenberg, Noam, 1974-
- Series Statement
- Annals of mathematics studies ; number 206
- Uniform Title
- Hierarchy of Turing degrees (Online)
- Alternative Title
- Hierarchy of Turing degrees (Online)
- Subject
- Bibliography (note)
- Includes bibliographical references (pages [215]-222).
- Access (note)
- Access restricted to authorized users.
- Contents
- [alpha]-c.a. functions -- The hierarchy of totally [alpha]-c.a. degrees -- Maximal totally [alpha]-c.a. degrees -- Presentations of left-c.e. reals -- m-topped degrees -- Embeddings of the 1-3-1 lattice -- Prompt permissions.
- ISBN
- 9780691200217
- LCCN
- 2019052456
- OCLC
- ssj0002279347
- Author
Downey, R. G. (Rod G.)
- Title
A hierarchy of Turing degrees [electronic resource] : a transfinite hierarchy of lowness notions in the computably enumerable degrees, unifying classes, and natural definability / Rod Downey, Noam Greenberg.
- Imprint
Princeton : Princeton University Press, 2020.
- Description
1 online resource (viii, 222 pages) : illustrations.
- Series
Annals of mathematics studies ; number 206
- Bibliography
Includes bibliographical references (pages [215]-222).
- Access
Access restricted to authorized users.
- Summary
"This book presents new results in computability theory, a branch of mathematical logic and computer science that has become increasingly relevant in recent years. The field's connections with disparate areas of mathematical logic and mathematics more generally have grown deeper, and now have a variety of applications in topology, group theory, and other subfields. This monograph establishes new directions in the field, blending classic results with modern research areas such as algorithmic randomness. The significance of the book lies not only in the depth of the results contained therein, but also in the fact that the notions the authors introduce allow them to unify results from several subfields of computability theory"-- Provided by publisher.
- Connect to:
- Added Author
Greenberg, Noam, 1974-