Problems and Theorems in Classical Set Theory

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ISBN: 978-0-387-30293-5 (Print) 978-0-387-36219-9 (Online)

Table of contents (62 chapters)

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  1. Front Matter

    Pages i-xii

  2. Problems

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-7

      Operations on sets

    3. No Access

      Book Chapter

      Pages 9-12

      Countability

    4. No Access

      Book Chapter

      Pages 13-14

      Equivalence

    5. No Access

      Book Chapter

      Pages 15-18

      Continuum

    6. No Access

      Book Chapter

      Pages 19-21

      Sets of reals and real functions

    7. No Access

      Book Chapter

      Pages 23-31

      Ordered sets

    8. No Access

      Book Chapter

      Pages 33-36

      Order types

    9. No Access

      Book Chapter

      Pages 37-41

      Ordinals

    10. No Access

      Book Chapter

      Pages 43-50

      Ordinal arithmetic

    11. No Access

      Book Chapter

      Pages 51-54

      Cardinals

    12. No Access

      Book Chapter

      Pages 55-57

      Partially ordered sets

    13. No Access

      Book Chapter

      Pages 59-61

      Transfinite enumeration

    14. No Access

      Book Chapter

      Pages 63-64

      Euclidean spaces

    15. No Access

      Book Chapter

      Pages 65-66

      Zorn’s lemma

    16. No Access

      Book Chapter

      Pages 67-69

      Hamel bases

    17. No Access

      Book Chapter

      Pages 71-73

      The continuum hypothesis

    18. No Access

      Book Chapter

      Pages 75-78

      Ultrafilters on ω

    19. No Access

      Book Chapter

      Pages 79-80

      Families of sets

    20. No Access

      Book Chapter

      Pages 81-83

      The Banach-Tarski paradox

    21. No Access

      Book Chapter

      Pages 85-87

      Stationary sets in ω 1

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