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category_of_open_sets [2014/10/28 18:30] nikolaj |
category_of_open_sets [2014/10/28 22:24] nikolaj |
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| ==== Discussion ==== | ==== Discussion ==== | ||
| - | In the category of open sets, If one object $U$ is subset of another $V$, the hom-set $\mathrm{Op}(X)[U,V]=\{i\}$ contains the only inclusion function and is empty otherwise. | + | In the category of open sets, if one object $U$ is subset of another $V$, i.e. $U\subseteq V$, then the hom-set $\mathrm{Op}(X)[U,V]=\{i\}$ contains the only inclusion function and is empty otherwise. |
| === Reference === | === Reference === | ||
