| 31. | Which is however generally neither injective nor surjective.
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| 32. | It is not difficult to show that " f " is injective.
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| 33. | Is well-defined and is clearly injective.
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| 34. | Each homomorphism is injective, a fact referred to as Cayley's theorem.
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| 35. | Dually, the injective model structure is similar with cofibrations and weak equivalences instead.
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| 36. | Thus, injective spaces satisfy a particularly strong form of Jung's theorem.
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| 37. | :Assume for a contradiction that " h " is not injective.
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| 38. | Define a map of into by sending to the injective map ( | ).
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| 39. | These are all examples of multivalued functions that come about from non-injective functions.
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| 40. | This choice of injective resolutions then yields functors " R i F ".
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