A class K of structures has the strong amalgamation property (SAP) if for every amalgam with A,B,C ∈ K there exist both a structure D ∈ K and embeddings f': B → D, g': C → D such that
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- where for any set X and function h on X,
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oh mother-eye, oh mother-eye, crush me in
the parent is as strong as a telephone pole.”
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—Ralph Waldo Emerson (1803–1882)