In order-theoretic mathematics, a partially ordered set in is chain complete if every chain in it has a least upper bound. It is ω-complete when every increasing sequence of elements (a type of countable chain) has a least upper bound; the same notion can be extended to other cardinalities of chains.
Read more about Chain Complete: Examples, Properties
Famous quotes containing the words chain and/or complete:
“Loyalty to petrified opinions never yet broke a chain or freed a human soul in this world—and never will.”
—Mark Twain [Samuel Langhorne Clemens] (1835–1910)
“No man, said Birkin, cuts another man’s throat unless he wants to cut it, and unless the other man wants it cutting. This is a complete truth. It takes two people to make a murder: a murderer and a murderee.... And a man who is murderable is a man who has in a profound if hidden lust desires to be murdered.”
—D.H. (David Herbert)