# Difference between revisions of "Surjective"

m (Tom moved page Surjective Function to Surjective) |
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− | A [[function]] $f \colon X \rightarrow Y$ is called surjective (or onto) if for any $y \in Y$, there exists $x \in X$ so that $f(x)=y$. | + | Let $X$ and $Y$ be sets. A [[function]] $f \colon X \rightarrow Y$ is called surjective (or onto) if for any $y \in Y$, there exists $x \in X$ so that $f(x)=y$. |

== References == | == References == |

## Latest revision as of 02:12, 24 December 2018

Let $X$ and $Y$ be sets. A function $f \colon X \rightarrow Y$ is called surjective (or onto) if for any $y \in Y$, there exists $x \in X$ so that $f(x)=y$.