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Axiom of extensionalityAxiom schema of specificationAxiom of infinityAxiom of pairingAxiom of choiceAxiomatic systemAxiom schemaMeasurable functionConstructible universeClassImageRepresentation theoremGeometric transformationSet theorySet-builder notationCategory of setsRepresentable functorAlgebra of setsLefschetz fixed-point theoremSymmetric groupMartin's axiomCantor's theoremMorphismAxiom of countable choiceCantor spaceCartesian productSolovay modelComplete measureFamily of setsAffine groupGenerating set of a groupIncidence algebraIsomorphism theoremsCompactness theoremIsometry groupSubsetPower setAlgebraic structureIndex setBorel setHilbert's nullstellensatzElementEquivalence of categoriesReflection principlePartially ordered setHurewicz theoremGermUnionGroup isomorphismMonoidExact coverComparison of topologiesInjective functionIndicator functionPartition of a setCanonical mapSymmetric differenceDistributive propertySchwarz reflection principleInclusion mapMaximal independent setInitial and terminal objectsCompact-open topologyHomogeneous relationSubmanifoldSupportContinuous functionStructureIntersectionClosed setLarge cardinalGeneral topologyBounded inverse theoremSymmetric spaceProjection-valued measureGrothendieck topologyLinear independenceSemigroupClosed graph theoremFirst-countable spaceIsometryConstructive set theoryCoverArchimedean propertyCartan decompositionSet functionEnriched categoryHasse diagramLattice of subgroupsClosure operatorMaximal idealMetrizable spaceTopological propertyGeometric measure theoryTransitive closureGroupCharacterizationMatrix ringSurjective functionDirected set