Automorphisms of the Lattice of Recursively Enumerable Sets (Memoirs of the American Mathematical Society)

by Peter Cholak

This work explores the connection between the lattice of recursively enumerable (r.e.) sets and the r.e. Turing degrees. Cholak presents a degree-theoretic technique for constructing both automorphisms of the lattice of r.e. sets and isomorphisms between various substructures of the lattice. In addition to providing another proof of Soare's Extension Theorem, this technique is used to prove a collection of new results, including: every nonrecursive...

• Format: Paperback
• Language: English
• ISBN: 0821826018
• ISBN13: 9780821826010
• Release Date: March 1995
• Publisher: Amer Mathematical Society
• Length: 151 Pages
• Weight: 0.65 lbs.
• Dimensions: 10.0" x 0.5" x 7.3"