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Natural transformation
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===Double dual of a vector space=== For example, if <math>K</math> is a [[field (mathematics)|field]], then for every [[vector space]] <math>V</math> over <math>K</math> we have a "natural" [[injective]] [[linear map]] <math>V \to V^{**}</math> from the vector space into its [[double dual]]. These maps are "natural" in the following sense: the double dual operation is a functor, and the maps are the components of a natural transformation from the identity functor to the double dual functor.
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