Differences
This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision Next revision | Previous revision Next revision Both sides next revision | ||
|
indexed_union [2013/09/14 16:57] nikolaj |
indexed_union [2014/03/21 11:11] 127.0.0.1 external edit |
||
|---|---|---|---|
| Line 1: | Line 1: | ||
| ===== Indexed union ===== | ===== Indexed union ===== | ||
| - | ==== Definition ==== | + | ==== Set ==== |
| - | | @#88DDEE: $f:I\to X$ | | + | | @#55CCEE: context | @#55CCEE: $f:I\to X$ | |
| - | | @#FFBB00: $\bigcup_{i\in I} X_i \equiv \bigcup \mathrm{im}(f)$ | | + | | @#FFBB00: definiendum | @#FFBB00: $\bigcup_{i\in I} X_i \equiv \bigcup \mathrm{im}(f)$ | |
| ==== Discussion ==== | ==== Discussion ==== | ||
| + | For $f=\mathrm{id}$, the set is indexing itself and the indexed union is just the arbitrary union $\bigcup_{i\in I} X_i = \bigcup X$. | ||
| ==== Parents ==== | ==== Parents ==== | ||
| === Refinement of === | === Refinement of === | ||
| [[Arbitrary union]] | [[Arbitrary union]] | ||
| - | === Requirements === | + | === Context === |
| [[Image]] | [[Image]] | ||
