A solutions manual for Set Theory by Thomas Jech

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A solutions manual for Set Theory by Thomas Jech

A solutions manual for Set Theory by Thomas Jech

GitHub repository here, HTML versions here, and PDF version here.

Contents

Part I: Basic Set Theory

  1. Axioms of Set Theory
  2. Ordinal Numbers
  3. Cardinal Numbers
  4. Real Numbers wip
  5. The Axiom of Choice and Cardinal Arithmetic
  6. The Axiom of Regularity
  7. Filters, Ultrafilters and Boolean Algebras
  8. Stationary Sets
  9. Combinatorial Set Theory
  10. Measurable Cardinals
  11. Borel and Analytic Sets
  12. Models of Set Theory

Part II: Advanced Set Theory

  1. Constructible Sets
  2. Forcing
  3. Applications of Forcing
  4. Iterated Forcing and Martin’s Axiom
  5. Large Cardinals
  6. Large Cardinals and \(L\)
  7. Iterated Ultrapowers and \(L[U]\)
  8. Very Large Cardinals
  9. Large Cardinals and Forcing
  10. Saturated Ideals
  11. The Nonstationary Ideal
  12. The Singular Cardinal Problem
  13. Descriptive Set Theory
  14. The Real Line

Part III: Selected Topics

  1. Combinatorial Principles in \(L\)
  2. More Applications of Forcing
  3. More Combinatorial Set Theory
  4. Complete Boolean Algebras
  5. Proper Forcing
  6. More Descriptive Set Theory
  7. Determinacy
  8. Supercompact Cardinals and the Real Line
  9. Inner Models for Large Cardinals
  10. Forcing and Large Cardinals
  11. Martin’s Maximum
  12. More on Stationary Sets