Example 10.2.2.8. Let $X$ and $Y$ be sets. Then a function $f: X \rightarrow Y$ is a quotient morphism (in the category of sets) if and only if it is surjective (see Example 10.2.0.4).

$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$

$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$

Example 10.2.2.8. Let $X$ and $Y$ be sets. Then a function $f: X \rightarrow Y$ is a quotient morphism (in the category of sets) if and only if it is surjective (see Example 10.2.0.4).