1 Subjects: “...Large cardinals (Mathematics)...”

2 Subjects: “...Large cardinals (Mathematics)...”

3 Table of Contents: “.... Ordinal definability and recursion -- v. 4. Large cardinals, determinacy and other topics...”

4 Table of Contents: “...Front Cover; Set Theory: An Introduction to Large Cardinals; Copyright Page; Contents; Preface...”

5 “...The theory of large cardinals is currently a broad mainstream of modern set theory, the main area...”

6 “... of Set Theory. The first two chapters are about the connection between large cardinals and Lebesque...”

7

8 Table of Contents: “... -- Iterated Forcing and Martin’s Axiom -- Large Cardinals -- Large Cardinals and L -- Iterated Ultrapowers...”

9 Table of Contents: “...-1 morasses -- The gap-2 two cardinals theorem. (Jensen) -- Small large cardinals -- Medium large...”

10 Table of Contents: “... and related questions reexamined -- Lectures on large cardinal axioms -- Indescribability properties and small...”

11 Table of Contents: “... models ; Some applications of forcing -- Large sets. Measurable cardinals ; Other large cardinals -- Sets...”

12 Table of Contents: “... Large Cardinals -- IV Sets of Reals -- 7 Descriptive Set Theory -- Historical Notes and Guide...”

13 Table of Contents: “... hypothesis -- Large cardinals -- Games and strategies -- The integral from Riemann to Bourbaki...”

14 Table of Contents: “.... An Extension of Ramsey's Theorem and Applications; Some Two-Cardinal Theorems. Models of Large Cardinality...”

15 Table of Contents: “... extensions -- Iterated forcing and Martin's axiom -- Some more large cardinals -- Limitations of Martin...”

16 Table of Contents: “...Forcing axioms -- Large cardinal properties of small cardinals -- Countable length Ramsey games...”

17 Table of Contents: “... and Guide -- Structural Consequences of AD -- Determinacy in (?) -- Large Cardinals from Determinacy...”

18 Table of Contents: “... Definably-large Cardinals -- Real-valued Measurable Cardinals and Well-orderings of the Reals -- Complexity...”

19 Table of Contents: “... -- Constructive universes I -- The evolution of large cardinal axioms in set theory -- Forcing in analysis...”

20 “...This book proves some important new theorems in the theory of canonical inner models for large...”