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Mathematical Sciences Classification System

03Exx - Set theory

• 03E02
  Partition relations
• 03E04
  Ordered sets and their cofinalities; pcf theory
• 9
  03E05
  Other combinatorial set theory
• 7
  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
• 19
  03E72
  Fuzzy set theory
• 5
  03E75
  Applications of set theory
• 03E99
  None of the above, but in this section