Linked from

The 10 pages that link to Axiom of union, each with the reason it gives.

• Zermelo–Fraenkel set theoryRelated: It combines the elements of a family of sets into one set.

• Ernst ZermeloBroader topic: It supplies a basic operation for building sets within Zermelo’s system.

• Cumulative hierarchyRelated: Union is the operation used to define levels at limit ordinals.

• Axiom of extensionalityRelated: Extensionality ensures that any two candidates with exactly those members coincide.

• Axiom of pairingRelated: Union and pairing are complementary existence principles for building sets.

• Axiom of infinityRelated: It combines successor constructions when building the natural numbers.

• Axiom schema of specificationRelated: It complements specification by providing another controlled way to form sets.

• Axiom of Power SetRelated: It is another Zermelo–Fraenkel axiom that closes a basic set-building operation.

• Von Neumann universeRelated: It supplies the unions used to form limit stages.

• Element of a setRelated: Membership in a union reduces to membership in one of its component sets.