Natural Transformation from Vector Spaces to their Double-Dual spaces
Автор: CategoryTheoryProofs
Загружено: 2023-08-13
Просмотров: 505
Описание:
Proof that there is a natural transformation from vector spaces to their double-dual spaces.
This natural transformation from the Category of Vector Spaces over a field k (Vect_k) to itself maps the identity functor to the functor that takes every vector space to its double-dual space.
The components for each vector space of the natural transformation correspond to the "Eval for v" function defined on that Vector Space.
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