Differences
This shows you the differences between two versions of the page.
Both sides previous revision Previous revision | Last revision Both sides next revision | ||
yoneda_embedding [2015/03/14 01:10] nikolaj |
yoneda_embedding [2015/03/14 01:10] nikolaj |
||
---|---|---|---|
Line 24: | Line 24: | ||
Let $g: X\to Y$ and $f: A\to B$. | Let $g: X\to Y$ and $f: A\to B$. | ||
- | We make $f$ into a natural transformation from $\mathrm{Hom}(-,A)$ to $\mathrm{Hom}(-B)$ as follows: | + | We make $f$ into a natural transformation from $\mathrm{Hom}(-,A)$ to $\mathrm{Hom}(-B)$ via the following square: |
$h: \mathrm{Hom}(Y,A)$ ... $f\circ h : \mathrm{Hom}(Y,B)$ | $h: \mathrm{Hom}(Y,A)$ ... $f\circ h : \mathrm{Hom}(Y,B)$ |