Full Subcategory: FinVect_k ⊊ Vect_k
FinVect_k is a full subcategory of Vect_k. When any two vector spaces over fields k of Vect_k are finite vector spaces over fields k in FinVect_k, all linear maps between them are linear maps in FinVect_k too. Put another way, FinVect_k has only some of the objects of Vect_k, but all of the arrows.
In terms of stuff, structure, and properties, finite vector spaces over fields k are like vector spaces over fields k but with extra properties.
full_subcategories: FinVect_k, Vect_k
This data as json
subcategory | supercategory |
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FinVect_k | Vect_k |