Linked from

The 17 pages that link to Isomorphism, each with the reason it gives.

• Equivalence relationRelated: Mathematical objects are often classified up to the equivalence of being isomorphic.

• Congruence (number theory)Related: Unlike congruence of integers, an isomorphism compares entire structures while preserving operations.

• Abstract algebraRelated: Isomorphisms identify structures that differ in representation but not in algebraic form.

• Universal propertyRelated: Uniqueness in a universal property usually means uniqueness up to this kind of equivalence.

• Linear mapRelated: A bijective linear map identifies two vector spaces without losing linear structure.

• Linear operatorRelated: An invertible linear operator is an isomorphism of vector spaces.

• Symmetry groupRelated: Different symmetry groups can have the same abstract structure despite acting differently.

• Algebraic structureRelated: Isomorphic structures differ in presentation but have the same algebraic form.

• Mathematical structureRelated: Isomorphic structures differ in presentation but have the same organization.

• Categorical theoryRelated: Categoricity identifies models up to this notion of structural sameness.

• Five lemmaRelated: The five lemma concludes that the middle vertical map is an isomorphism.

• CodeRelated: Codes often represent structures up to isomorphism rather than by identity.

• Mathematical universe hypothesisRelated: Isomorphic descriptions may encode the same structure rather than distinct physical realities.

• Initial and terminal objectsRelated: Any two initial objects, or any two terminal objects, are uniquely isomorphic.

• Mostowski collapse lemmaRelated: The lemma identifies the original relation with membership through an isomorphism.