Linked from

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

• FunctionRelated: It sets the allowed output set, even when some elements are never produced.

• Domain of a functionCompared with: The domain describes allowed inputs, while the codomain describes the designated output set.

• BijectionRelated: Surjectivity requires every element of this set to be reached.

• Function compositionRelated: The inner function’s codomain helps determine whether its outputs can serve as outer-function inputs.

• Rank–nullity theoremRelated: The image lies inside the codomain, though it may not fill it.

• Injective functionRelated: A function can be injective even when some elements of its codomain are never attained.

• Input–output modelBroader topic: It describes the possible output space of a function-based model.

• FunctorRelated: The target category contains every object and morphism assigned by the functor.

• Surjective functionRelated: The codomain is the target set that a surjective function must cover.

• Image (mathematics)Related: The image is contained in the codomain but need not equal it.

• Partial functionRelated: Even where the function is defined, its outputs must belong to its codomain.

• Left inverseRelated: A left inverse only needs to undo f on its image, not on every codomain element.

• Real-valued functionRelated: For a real-valued function, the codomain is the real numbers.

• Constant functionRelated: The constant value must belong to this set, even if other codomain values are unused.

• Range of a functionRelated: The range is contained in the codomain but need not equal it.

• Vector-valued functionRelated: The codomain identifies the vector space in which the outputs lie.

• Function of a real variableRelated: It distinguishes the target set from the values the function actually attains.