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:
“In private life he was good-natured, chearful, social; inelegant in his manners, loose in his morals. He had a coarse, strong wit, which he was too free of for a man in his station, as it is always inconsistent with dignity. He was very able as a minister, but without a certain elevation of mind necessary for great good, or great mischief.”
—Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)
“Personal rights, universally the same, demand a government framed on the ratio of the census: property demands a government framed on the ratio of owners and of owning.”
—Ralph Waldo Emerson (1803–1882)