Book:Nik Weaver/Forcing for Mathematicians

Subject Matter

 * Set Theory

Contents

 * Peano Arithmetic
 * Zermelo–Fraenkel Set Theory
 * Well-Ordered Sets
 * Ordinals
 * Cardinals
 * Relativization
 * Reflection
 * Forcing Notions
 * Generic Extensions
 * Forcing Equality
 * The Fundamental Theorem
 * Forcing $CH$
 * Forcing $\lnot CH$
 * Families of Entire Functions
 * Self-Homeomorphisms of $\beta \N \divides \N$, $\text I$
 * Pure States on $\map B H$
 * The Diamond Principle
 * Suslin's Problem, $\text I$
 * Naimark's problem
 * A Stronger Diamond
 * Whitehead's Problem, $\text I$
 * Iterated Forcing
 * Martin's Axiom
 * Suslin's Problem, $\text {II}$
 * Whitehead's Problem, $\text {II}$
 * The Open Coloring Axiom
 * Self-Homeomorphisms of $\beta \N \divides \N$, $\text {II}$
 * Automorphisms of the Calkin Algebra, $\text I$
 * Automorphisms of the Calkin Algebra, $\text {II}$
 * The Multiverse Interpretation