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Brain Functors: A mathematical model of intentional perception and action-Figure 15: Mathematical butterfly diagram for a brain functor

HomA(F(X),A) &cong; Het(X,A) &cong; HomX(X,G(A)). If the functor F also has a left adjoint H : A→X, then: HomX(H(A),X) &cong; Het(A,X) &cong; HomA(A,F(X)). Then taking the isomorphisms that do not involve G or H gives: and Het(A,X) &cong; HomA(A,F(X)), i.e., F is a brain functor. Hence all functors that have both right and left adjoints are brain functors. 16 HomA(F(X),A) &cong; Het(X,A)

ShareScore

40/100

Overall dataset sharing score

Score breakdown

These five areas show where the dataset supports — or may limit — practical reuse.

Stewardship: 8
Harmonization: 4
Access: 20
Reuse readiness: 8
Engagement: 0

Topics

intentional perception and action category theory adjunctions brain functors heteromorphisms