Thanks for understanding, Frank. Yes, the duality of vector spaces arises as a particular instance with perfect duality only in the case of finite-dimensional vector spaces. Here is a page outlining a broader discussion: https://ncatlab.org/nlab/show/duality
Duality turns out to be a surprisingly general structural construction, and to the degree that categories aim to characterize phenomena (group -> symmetry, set -> size, Dyn -> behavior, etc...), I believe dualities in and between categories can guide quite a lot of rational exploration.
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