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:
“They reckon ill who leave me out;
When me they fly, I am the wings;
I am the doubter and the doubt,
And I the hymn the Brahmin sings.
The strong gods pine for my abode,
And pine in vain the sacred Seven;
But thou, meek lover of the good!
Find me, and turn thy back on heaven.”
—Ralph Waldo Emerson (1803–1882)
“When a strong man, fully armed, guards his castle, his property is safe. But when one stronger than he attacks him and overpowers him, he takes away his armor in which he trusted and divides his plunder.”
—Bible: New Testament, Luke 11:21.22.