Mathematical Sciences Classification System

03Exx - Set theory

  • 03E02
    Partition relations
  • 03E04
    Ordered sets and their cofinalities; pcf theory
  • 9
    03E05
    Other combinatorial set theory
  • 6
    03E10
    Ordinal and cardinal numbers
  • 18
    03E15
    Descriptive set theory [See also 28A05, 54H05]
  • 3
    03E17
    Cardinal characteristics of the continuum
  • 3
    03E20
    Other classical set theory (including functions, relations, and set algebra)
  • 7
    03E25
    Axiom of choice and related propositions
  • 5
    03E30
    Axiomatics of classical set theory and its fragments
  • 8
    03E35
    Consistency and independence results
  • 5
    03E40
    Other aspects of forcing and Boolean-valued models
  • 03E45
    Inner models, including constructibility, ordinal definability, and core models
  • 03E47
    Other notions of set-theoretic definability
  • 3
    03E50
    Continuum hypothesis and Martin's axiom [See also 03E57]
  • 2
    03E55
    Large cardinals
  • 2
    03E57
    Generic absoluteness and forcing axioms [See also 03E50]
  • 2
    03E60
    Determinacy principles
  • 1
    03E65
    Other hypotheses and axioms
  • 2
    03E70
    Nonclassical and second-order set theories
  • 18
    03E72
    Fuzzy set theory
  • 5
    03E75
    Applications of set theory
  • 03E99
    None of the above, but in this section

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