Set Theory

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ISBN: 978-3-540-44085-7 (Print) 978-3-540-44761-0 (Online)
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Table of contents (38 chapters)

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  1. Basic Set Theory

    1. Front Matter

      Pages 1-1

    2. Book Chapter

      Pages 3-15

      Axioms of Set Theory

    3. Book Chapter

      Pages 17-26

      Ordinal Numbers

    4. Book Chapter

      Pages 27-35

      Cardinal Numbers

    5. Book Chapter

      Pages 37-45

      Real Numbers

    6. Book Chapter

      Pages 47-61

      The Axiom of Choice and Cardinal Arithmetic

    7. Book Chapter

      Pages 63-71

      The Axiom of Regularity

    8. Book Chapter

      Pages 73-89

      Filters, Ultrafilters and Boolean Algebras

    9. Book Chapter

      Pages 91-105

      Stationary Sets

    10. Book Chapter

      Pages 107-123

      Combinatorial Set Theory

    11. Book Chapter

      Pages 125-138

      Measurable Cardinals

    12. Book Chapter

      Pages 139-153

      Borel and Analytic Sets

    13. Book Chapter

      Pages 155-172

      Models of Set Theory

  2. Advanced Set Theory

    1. Front Matter

      Pages 173-173

    2. Book Chapter

      Pages 175-200

      Constructible Sets

    3. Book Chapter

      Pages 201-224

      Forcing

    4. Book Chapter

      Pages 225-265

      Applications of Forcing

    5. Book Chapter

      Pages 267-283

      Iterated Forcing and Martin’s Axiom

    6. Book Chapter

      Pages 285-309

      Large Cardinals

    7. Book Chapter

      Pages 311-337

      Large Cardinals and L

    8. Book Chapter

      Pages 339-364

      Iterated Ultrapowers and L[U]

    9. Book Chapter

      Pages 365-387

      Very Large Cardinals

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