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category_of_open_sets [2014/10/28 22:23]
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 $V$, i.e. $U\subseteq V$, 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 ===
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