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:
“From Nature’s chain whatever link you strike,
Tenth or ten thousandth, breaks the chain alike.”
—Alexander Pope (1688–1744)
“For which of you, intending to build a tower, does not first sit down and estimate the cost, to see whether he has enough to complete it?”
—Bible: New Testament, Luke 14:28.