===== Isomorphism ===== ==== Collection ==== | @#55CCEE: context | @#55CCEE: $A,B\in\mathrm{Ob}_{\bf C}$ | | @#FFBB00: definiendum | @#FFBB00: $f$ in $A\cong B$ | | @#AAFFAA: inclusion | @#AAFFAA: $f:{\bf C}[A,B]$ | | @#FFFDDD: exists | @#FFFDDD: $f^{-1}:{\bf C}[B,A]$ | | @#55EE55: postulate | @#55EE55: $f^{-1}\circ f=\mathrm{id}_A$ | | @#55EE55: postulate | @#55EE55: $f\circ f^{-1}=\mathrm{id}_B$ | ----- === Reference === Wikipedia: [[https://en.wikipedia.org/wiki/Isomorphism|Isomorphism]], [[https://en.wikipedia.org/wiki/Automorphism|Automorphism]] ----- === Context === [[Categories]]