J. R. Frisch, University of California, San Diego, La Jolla, California. A. S. Kechris, California Institute of Technology, Pasadena, California. F. Shinko, University of California, Berkeley, California. Zoltan Vidnyanszky, Eotvos Lorand University, Budapest, Hungary

• Chapters; 1. Introduction; 2. Preliminaries; 3. The Borel Inclusion Order of Countable Borel Equivalence Relations; 4. Topological Realizations; 5. Subshifts; 6. $K_\sigma $ Countable Borel Equivalence Relations; 7. Generators and 2-adequate Groups; 8. Additional Results; 9. Open Problems; A. Amenable Actions; B. Weak Containment; C. The Correspondence Theorem of Hochman

J. R. Frisch, University of California, San Diego, La Jolla, California. A. S. Kechris, California Institute of Technology, Pasadena, California. F. Shinko, University of California, Berkeley, California. Zoltan Vidnyanszky, Eotvos Lorand University, Budapest, Hungary

• Chapters; 1. Introduction; 2. Preliminaries; 3. The Borel Inclusion Order of Countable Borel Equivalence Relations; 4. Topological Realizations; 5. Subshifts; 6. $K_\sigma $ Countable Borel Equivalence Relations; 7. Generators and 2-adequate Groups; 8. Additional Results; 9. Open Problems; A. Amenable Actions; B. Weak Containment; C. The Correspondence Theorem of Hochman

J. R. Frisch, University of California, San Diego, La Jolla, California. A. S. Kechris, California Institute of Technology, Pasadena, California. F. Shinko, University of California, Berkeley, California. Zoltan Vidnyanszky, Eotvos Lorand University, Budapest, Hungary

• Chapters; 1. Introduction; 2. Preliminaries; 3. The Borel Inclusion Order of Countable Borel Equivalence Relations; 4. Topological Realizations; 5. Subshifts; 6. $K_\sigma $ Countable Borel Equivalence Relations; 7. Generators and 2-adequate Groups; 8. Additional Results; 9. Open Problems; A. Amenable Actions; B. Weak Containment; C. The Correspondence Theorem of Hochman