Read more
This book proves some important new theorems in the theory of canonical inner models for large cardinal hypotheses, a topic of central importance in modern set theory. It also contains a good deal of background material, some of it unpublished folklore, making it an accessible introduction to the higher reaches of inner model theory.
List of contents
1. Introduction; 2. Preliminaries; 3. Background-induced iteration strategies; 4. More mice and iteration trees; 5. Some properties of induced strategies; 6. Normalizing stacks of iteration trees; 7. Strategies that condense and normalize well; 8. Comparing iteration strategies; 9. Fine structure for the least branch hierarchy; 10. Phalanx iteration into a construction; 11. HOD in the derived model of a HOD mouse; References; Index.
About the author
John R. Steel is Professor of Mathematics at the University of California, Berkeley. He is a recipient of the Carol Karp Prize of the Association for Symbolic Logic, the Hausdorff Medal of the European Set Theory Society, and the Humboldt Prize.
Summary
This book proves some important new theorems in the theory of canonical inner models for large cardinal hypotheses, a topic of central importance in modern set theory. It also contains a good deal of background material, some of it unpublished folklore, making it an accessible introduction to the higher reaches of inner model theory.
