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
-
- and
-
- where for any set X and function h on X,
Read more about this topic: Amalgamation Property
Famous quotes containing the words strong and/or property:
“I think that parents ought to get some idea of how the so- called experts have changed their advice over the decades, so that they wont take them deadly seriously, and so that if the parent has the strong feeling, I dont like this advice, the parent wont feel compelled to follow it. . . . So dont worry about trying to do a perfect job. There is no perfect job. There is no one way of raising your children.”
—Benjamin Spock (b. 1903)
“By avarice and selfishness, and a groveling habit, from which none of us is free, of regarding the soil as property, or the means of acquiring property chiefly, the landscape is deformed, husbandry is degraded with us, and the farmer leads the meanest of lives. He knows Nature but as a robber.”
—Henry David Thoreau (18171862)