APS homomorphism

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This article gives a basic definition in the following area: APS theory
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BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]


Let (G,\Phi) and (H,\Psi) be APSes of groups. A homomorphism f:G \to H is the following data: for every n, a homomorphism of groups f_n:G_n \to H_n, such that:

f_{m+n}(\Phi_{m,n}(g,h)) = \Psi_{m,n}(f_m(g),f_n(h))