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Problems and Theorems in Classical Set Theory

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Cover of 'Problems and Theorems in Classical Set Theory'

Table of Contents

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    Book Overview
  2. Altmetric Badge
    Chapter 1 Operations on sets
  3. Altmetric Badge
    Chapter 2 Countability
  4. Altmetric Badge
    Chapter 3 Equivalence
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    Chapter 4 Continuum
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    Chapter 5 Sets of reals and real functions
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    Chapter 6 Ordered sets
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    Chapter 7 Order types
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    Chapter 8 Ordinals
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    Chapter 9 Ordinal arithmetic
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    Chapter 10 Cardinals
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    Chapter 11 Partially ordered sets
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    Chapter 12 Transfinite enumeration
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    Chapter 13 Euclidean spaces
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    Chapter 14 Zorn’s lemma
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    Chapter 15 Hamel bases
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    Chapter 16 The continuum hypothesis
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    Chapter 17 Ultrafilters on ω
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    Chapter 18 Families of sets
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    Chapter 19 The Banach-Tarski paradox
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    Chapter 20 Stationary sets in ω 1
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    Chapter 21 Stationary sets in larger cardinals
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    Chapter 22 Canonical functions
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    Chapter 23 Infinite graphs
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    Chapter 24 Partition relations
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    Chapter 25 Δ -systems
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    Chapter 26 Set mappings
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    Chapter 27 Trees
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    Chapter 28 The measure problem
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    Chapter 29 Stationary sets in [ λ ]
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    Chapter 30 The axiom of choice
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    Chapter 31 Well-founded sets and the axiom of foundation
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    Chapter 32 Operations on sets
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    Chapter 33 Countability
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    Chapter 34 Equivalence
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    Chapter 35 Continuum
  37. Altmetric Badge
    Chapter 36 Sets of reals and real functions
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    Chapter 37 Ordered sets
  39. Altmetric Badge
    Chapter 38 Order types
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    Chapter 39 Ordinals
  41. Altmetric Badge
    Chapter 40 Ordinal arithmetic
  42. Altmetric Badge
    Chapter 41 Cardinals
  43. Altmetric Badge
    Chapter 42 Partially ordered sets
  44. Altmetric Badge
    Chapter 43 Transfinite enumeration
  45. Altmetric Badge
    Chapter 44 Euclidean spaces
  46. Altmetric Badge
    Chapter 45 Zorn’s lemma
  47. Altmetric Badge
    Chapter 46 Hamel bases
  48. Altmetric Badge
    Chapter 47 The continuum hypothesis
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    Chapter 48 Ultrafilters on ω
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    Chapter 49 Families of sets
  51. Altmetric Badge
    Chapter 50 The Banach-Tarski paradox
  52. Altmetric Badge
    Chapter 51 Stationary sets in ω 1
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    Chapter 52 Stationary sets in larger cardinals
  54. Altmetric Badge
    Chapter 53 Canonical functions
  55. Altmetric Badge
    Chapter 54 Infinite graphs
  56. Altmetric Badge
    Chapter 55 Partition relations
  57. Altmetric Badge
    Chapter 56 Δ -systems
  58. Altmetric Badge
    Chapter 57 Set mappings
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    Chapter 58 Trees
  60. Altmetric Badge
    Chapter 59 The measure problem
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    Chapter 60 Stationary sets in [ λ ]
  62. Altmetric Badge
    Chapter 61 The axiom of choice
  63. Altmetric Badge
    Chapter 62 Well-founded sets and the axiom of foundation
Overall attention for this book and its chapters
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Title
Problems and Theorems in Classical Set Theory
Published by
Springer Science & Business Media, May 2006
DOI 10.1007/0-387-36219-3
ISBNs
978-0-387-30293-5, 978-0-387-36219-9
Authors

Komjáth, Péter, Totik, Vilmos

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 50 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
United States 1 2%
Canada 1 2%
Unknown 48 96%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 13 26%
Researcher 9 18%
Other 5 10%
Student > Bachelor 4 8%
Student > Master 4 8%
Other 8 16%
Unknown 7 14%
Readers by discipline Count As %
Mathematics 12 24%
Computer Science 8 16%
Engineering 4 8%
Physics and Astronomy 3 6%
Philosophy 3 6%
Other 12 24%
Unknown 8 16%