Differences
This shows you the differences between two versions of the page.
Both sides previous revision Previous revision | Last revision Both sides next revision | ||
equalizer_._category_theory [2016/05/21 14:41] nikolaj |
equalizer_._category_theory [2016/05/21 15:13] nikolaj |
||
---|---|---|---|
Line 12: | Line 12: | ||
=== Examples === | === Examples === | ||
- | In ${\bf{Set}}$, if $f,g:A\to B$, then their equalizer $E$ is the set | + | In ${\bf{Set}}$, if $f,g:A\to B$, then their equalizer is the set |
- | $\{a\in A\ |\ f(a)=g(a)\}$ | + | $E=\{a\in A\ |\ f(a)=g(a)\}$ |
and $e:E\to A$ is the obvious injection. | and $e:E\to A$ is the obvious injection. |