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automorphism_group [2015/04/17 10:38] nikolaj created |
automorphism_group [2015/04/17 11:03] nikolaj |
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| ==== Set ==== | ==== Set ==== | ||
| | @#55CCEE: context | @#55CCEE: $\bf C$ ... concrete category | | | @#55CCEE: context | @#55CCEE: $\bf C$ ... concrete category | | ||
| - | | @#55CCEE: context | @#55CCEE: $A:\mathrm{Ob}_{\bf C}$ | | + | | @#55CCEE: context | @#55CCEE: $X:\mathrm{Ob}_{\bf C}$ | |
| - | | @#FFBB00: definiendum | @#FFBB00: $\langle\!\langle A\cong A,\circ\rangle\!\rangle$ | | + | | @#FFBB00: definiendum | @#FFBB00: $\mathrm{Aut}(X)\equiv\langle\!\langle X\cong X,\circ\rangle\!\rangle$ | |
| ----- | ----- | ||
| === Elaboration === | === Elaboration === | ||
| - | Obviously, here $\circ$ denotes the concatentaion of arrows in $\bf C$. | + | Obviously, $\circ$ denotes the concatentaion of arrows in $\bf C$ here. |
| === Theorems === | === Theorems === | ||
