Differences
This shows you the differences between two versions of the page.
Both sides previous revision Previous revision Next revision | Previous revision | ||
equalizer_._category_theory [2016/05/21 14:41] nikolaj |
equalizer_._category_theory [2016/05/21 18:26] (current) 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. | ||
Line 27: | Line 27: | ||
=== Context === | === Context === | ||
[[Functor]] | [[Functor]] | ||
- | === Refinement of === | + | === Subset of === |
- | [[Limit . category theory]] | + | [[A triangle limit]] |