41. Injective resolutions measure how far from injective a module is in terms of the fields.42. Injective resolutions measure how far from injective a module is in terms of the fields. 43. More generally, an abelian group is injective if and only if it is divisible. 44. One can use injective hulls to define a minimal injective resolution ( see below ). 45. One can use injective hulls to define a minimal injective resolution ( see below ). 46. It is not, however, injective . 47. Moreover, morphisms of complexes extend uniquely to a morphism of two given injective resolutions. 48. This action is faithful, which is equivalent to curry ( T ) being injective . 49. More strongly, every non-locally-injective cellular automaton has an orphan pattern. 50. However, every image of a perfect space under an injective continuous map is perfect.
