John R. Steel (Berkeley University of California)

A Comparison Process for Mouse Pairs

• Gebundenes Buch

Produktbeschreibung

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 It also contains a good deal of background material, some of it unpublished folklore, making it an accessible introduction to the higher reaches of inner model theory.

Produktdetails

• Lecture Notes in Logic
• Verlag: Cambridge University Press
• Seitenzahl: 548
• Erscheinungstermin: 24. November 2022
• Englisch
• Abmessung: 229mm x 152mm x 35mm
• Gewicht: 982g
• ISBN-13: 9781108840682
• ISBN-10: 110884068X
• Artikelnr.: 66224214

Autorenporträt

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.

Inhaltsangabe

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.