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Nov 3, 2012 at 2:30 comment added Spice the Bird Let $\mathcal{C}$ be a category and $X$ be an object. Then a generalized element of $X$ of shape $Y$ is a morphism, $f:Y\rightarrow X$. We may also write this as $f\in_{Y} X$, for $f$ is a $Y$ shaped element of $X$. See ncatlab.org/nlab/show/generalized+element and also see the book at the website patryshev.com/books/Sets%20for%20Mathematics.pdf.
Nov 2, 2012 at 17:37 vote accept Sergei Akbarov
Nov 2, 2012 at 17:36 comment added Sergei Akbarov Generalized elements? What's this? Anyway, I accept Sergio's answer.
Nov 2, 2012 at 17:03 comment added Spice the Bird It would amount to the same thing if we thought about this in terms of generalized elements.
Nov 2, 2012 at 9:24 history edited Buschi Sergio CC BY-SA 3.0
Simbols, grammars; deleted 6 characters in body
Nov 2, 2012 at 7:54 comment added Sergei Akbarov Interesting... OK, I need a time to verify the details.
Nov 2, 2012 at 7:26 history answered Buschi Sergio CC BY-SA 3.0