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Set Theory - II[edit]

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Aczel's anti-foundation axiom
Axiom of regularity
Axiom of constructibility
Axiom of determinacy
Axiom of empty set
Axiom of extensionality
Axiom of global choice
Axiom of infinity
Axiom of limitation of size
Axiom of pairing
Axiom of power set
Axiom of real determinacy
Axiom of union
Axiom schema of predicative separation
Axiom schema of replacement
Axiom schema of specification
Freiling's axiom of symmetry
Ground axiom
Martin's axiom
Proper forcing axiom
Descriptive set theory
Adequate pointclass
Analytic set
Axiom of projective determinacy
Baire space (set theory)
Banach–Mazur game
Borel right process
Borel equivalence relation
Borel hierarchy
Borel set
Cabal (set theory)
Cantor space
Cichoń's diagram
Coanalytic set
Difference hierarchy
Fσ set
Gδ set
Homogeneous tree
Homogeneously Suslin set
Inductive set
Infinity-Borel set
Kleene–Brouwer order
L(R)
List of properties of sets of reals
Lusin's separation theorem
Martin measure
Meagre set
Perfect set property
Pointclass
Polish space
Prewellordering
Projective hierarchy
Property of Baire
Scale (descriptive set theory)
Schroeder–Bernstein theorem for measurable spaces
Suslin set
Tree (descriptive set theory)
Uniformization (set theory)
Universally Baire set
Universally measurable set
Wadge hierarchy
Zero-dimensional space
Θ (set theory)
Axiom of choice
Axiom of countable choice
Axiom of dependent choice
Boolean prime ideal theorem
Choice function
Hausdorff maximal principle
König's lemma
König's theorem (set theory)
Szpilrajn extension theorem
Tukey's lemma
Tychonoff's theorem
Well-ordering theorem
Zorn's lemma
Effective descriptive set theory
Analytical hierarchy
Arithmetical hierarchy
Arithmetical set
Effective Polish space
Lightface analytic game
Cantor set
Gregory number
Interval (mathematics)
Nested intervals
Normal number
Smith–Volterra–Cantor set
Stoneham number
Unit interval
Vitali set