Book:Nik Weaver/Forcing for Mathematicians

Nik Weaver: Forcing for Mathematicians

Published $\text {2014}$, World Scientific

ISBN 978-981-4566-00-1

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