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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Famous quotes containing the words strong and/or property:
“Reason looks at necessity as the basis of the world; reason is able to turn chance in your favor and use it. Only by having reason remain strong and unshakable can we be called a god of the earth.”
—Johann Wolfgang Von Goethe (1749–1832)
“In the Greek cities, it was reckoned profane, that any person should pretend a property in a work of art, which belonged to all who could behold it.”
—Ralph Waldo Emerson (1803–1882)