Sentence examples for surjective from inspiring English sources

In (Aczel 1978) the author also considered a choice principle called the Presentation Axiom, which asserts that every set is the surjective image of a so-called base.

To complete the visualization above, an epimorphism is a surjective homomorphism, and an endomorphism is a mapping from a structure to itself, although it need not be a symmetrical i.e., invertible mapping, which would be an automorph.

2. A function \(f\): \(A \rightarrow B\) is surjective if for any element \(b \in B\) there is \(a \in A\) such that \(f(a) = b\).

Finally AC3 is easily shown to be equivalent (in the usual set theories) to:[2] AC4: Any surjective function has a right inverse.