Differences
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over_category [2015/03/18 17:10] nikolaj |
over_category [2015/03/18 17:11] nikolaj |
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| | @#55CCEE: context | @#55CCEE: $T\in{\bf C}$ | | | @#55CCEE: context | @#55CCEE: $T\in{\bf C}$ | | ||
| | @#FFBB00: definiendum | @#FFBB00: ${\bf C}/T$ | | | @#FFBB00: definiendum | @#FFBB00: ${\bf C}/T$ | | ||
| - | | @#FF9944: definition | @#FF9944: $\mathrm{Ob}_{{\bf C}/T}:=$ all $f$, such that there is a $\in{\bf C}$, such that $f:{\bf C}[S,T]$ | | + | | @#FF9944: definition | @#FF9944: $\mathrm{Ob}_{{\bf C}/T}:=$ all arrows $f$, such that there is an object $S\in{\bf C}$, such that $f:{\bf C}[S,T]$ | |
| - | | @#FF9944: definition | @#FF9944: ${\bf C}/T[f,g]:=$ all $h$, such that $h\circ g = f$ | | + | | @#FF9944: definition | @#FF9944: ${\bf C}/T[f,g]:=$ all arrows $h$, such that $h\circ g = f$ | |
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